Express Exponential Models as Logarithmic Solutions: CCSS.Math.Content.HSF-LE.A.4 - Common Core: High School - Functions
Card 1 of 44
Solve for 
using rules of logarithmic functions.
Solve for
Tap to see back →
This question is testing one's ability to understand logarithmic rules and apply them in order to solve a function.
For the purpose of Common Core Standards, "For exponential models, express as a logarithm the solution to ab^(ct) = d where a, c, and _d_are numbers and the base b is 2, 10, or e; evaluate the logarithm using technology." falls within the Cluster A of "Construct and compare linear, quadratic, and exponential models and solve problems" concept (CCSS.MATH.CONTENT.HSF-LE.A.4).
Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.
Step 1: Use algebraic operations to manipulate the function and isolate the 
value on one side of the equation.
Subtract two from both sides.
Step 2: Identify logarithmic rules.
Recall that 
Step 3: Apply logarithmic rules to solve for 
.
This question is testing one's ability to understand logarithmic rules and apply them in order to solve a function.
For the purpose of Common Core Standards, "For exponential models, express as a logarithm the solution to ab^(ct) = d where a, c, and _d_are numbers and the base b is 2, 10, or e; evaluate the logarithm using technology." falls within the Cluster A of "Construct and compare linear, quadratic, and exponential models and solve problems" concept (CCSS.MATH.CONTENT.HSF-LE.A.4).
Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.
Step 1: Use algebraic operations to manipulate the function and isolate the
Subtract two from both sides.
Step 2: Identify logarithmic rules.
Recall that
Step 3: Apply logarithmic rules to solve for
Solve for using rules of logarithmic functions.
Solve for
Tap to see back →
This question is testing one's ability to understand logarithmic rules and apply them in order to solve a function.
For the purpose of Common Core Standards, "For exponential models, express as a logarithm the solution to ab^(ct) = d where a, c, and _d_are numbers and the base b is 2, 10, or e; evaluate the logarithm using technology." falls within the Cluster A of "Construct and compare linear, quadratic, and exponential models and solve problems" concept (CCSS.MATH.CONTENT.HSF-LE.A.4).
Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.
Step 1: Use algebraic operations to manipulate the function and isolate the value on one side of the equation.
Subtract one from both sides.
Step 2: Identify logarithmic rules.
Recall that
Step 3: Apply logarithmic rules to solve for .
This question is testing one's ability to understand logarithmic rules and apply them in order to solve a function.
For the purpose of Common Core Standards, "For exponential models, express as a logarithm the solution to ab^(ct) = d where a, c, and _d_are numbers and the base b is 2, 10, or e; evaluate the logarithm using technology." falls within the Cluster A of "Construct and compare linear, quadratic, and exponential models and solve problems" concept (CCSS.MATH.CONTENT.HSF-LE.A.4).
Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.
Step 1: Use algebraic operations to manipulate the function and isolate the
Subtract one from both sides.
Step 2: Identify logarithmic rules.
Recall that
Step 3: Apply logarithmic rules to solve for
Solve for using rules of logarithmic functions.
Solve for
Tap to see back →
This question is testing one's ability to understand logarithmic rules and apply them in order to solve a function.
For the purpose of Common Core Standards, "For exponential models, express as a logarithm the solution to ab^(ct) = d where a, c, and _d_are numbers and the base b is 2, 10, or e; evaluate the logarithm using technology." falls within the Cluster A of "Construct and compare linear, quadratic, and exponential models and solve problems" concept (CCSS.MATH.CONTENT.HSF-LE.A.4).
Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.
Step 1: Use algebraic operations to manipulate the function and isolate the value on one side of the equation.
Subtract one from both sides.
Step 2: Identify logarithmic rules.
Recall that
Step 3: Apply logarithmic rules to solve for .
This question is testing one's ability to understand logarithmic rules and apply them in order to solve a function.
For the purpose of Common Core Standards, "For exponential models, express as a logarithm the solution to ab^(ct) = d where a, c, and _d_are numbers and the base b is 2, 10, or e; evaluate the logarithm using technology." falls within the Cluster A of "Construct and compare linear, quadratic, and exponential models and solve problems" concept (CCSS.MATH.CONTENT.HSF-LE.A.4).
Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.
Step 1: Use algebraic operations to manipulate the function and isolate the
Subtract one from both sides.
Step 2: Identify logarithmic rules.
Recall that
Step 3: Apply logarithmic rules to solve for
Solve for using rules of logarithmic functions.
Solve for
Tap to see back →
This question is testing one's ability to understand logarithmic rules and apply them in order to solve a function.
For the purpose of Common Core Standards, "For exponential models, express as a logarithm the solution to ab^(ct) = d where a, c, and _d_are numbers and the base b is 2, 10, or e; evaluate the logarithm using technology." falls within the Cluster A of "Construct and compare linear, quadratic, and exponential models and solve problems" concept (CCSS.MATH.CONTENT.HSF-LE.A.4).
Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.
Step 1: Use algebraic operations to manipulate the function and isolate the value on one side of the equation.
Subtract five from both sides and then divide by two.
Step 2: Identify logarithmic rules.
Recall that
Step 3: Apply logarithmic rules to solve for .
This question is testing one's ability to understand logarithmic rules and apply them in order to solve a function.
For the purpose of Common Core Standards, "For exponential models, express as a logarithm the solution to ab^(ct) = d where a, c, and _d_are numbers and the base b is 2, 10, or e; evaluate the logarithm using technology." falls within the Cluster A of "Construct and compare linear, quadratic, and exponential models and solve problems" concept (CCSS.MATH.CONTENT.HSF-LE.A.4).
Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.
Step 1: Use algebraic operations to manipulate the function and isolate the
Subtract five from both sides and then divide by two.
Step 2: Identify logarithmic rules.
Recall that
Step 3: Apply logarithmic rules to solve for
Solve for using rules of logarithmic functions.
Solve for
Tap to see back →
This question is testing one's ability to understand logarithmic rules and apply them in order to solve a function.
For the purpose of Common Core Standards, "For exponential models, express as a logarithm the solution to ab^(ct) = d where a, c, and _d_are numbers and the base b is 2, 10, or e; evaluate the logarithm using technology." falls within the Cluster A of "Construct and compare linear, quadratic, and exponential models and solve problems" concept (CCSS.MATH.CONTENT.HSF-LE.A.4).
Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.
Step 1: Use algebraic operations to manipulate the function and isolate the value on one side of the equation.
Subtract five from both sides and then divide by four.
Step 2: Identify logarithmic rules.
Recall that
Step 3: Apply logarithmic rules to solve for .
This question is testing one's ability to understand logarithmic rules and apply them in order to solve a function.
For the purpose of Common Core Standards, "For exponential models, express as a logarithm the solution to ab^(ct) = d where a, c, and _d_are numbers and the base b is 2, 10, or e; evaluate the logarithm using technology." falls within the Cluster A of "Construct and compare linear, quadratic, and exponential models and solve problems" concept (CCSS.MATH.CONTENT.HSF-LE.A.4).
Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.
Step 1: Use algebraic operations to manipulate the function and isolate the
Subtract five from both sides and then divide by four.
Step 2: Identify logarithmic rules.
Recall that
Step 3: Apply logarithmic rules to solve for
Solve for using rules of logarithmic functions.
Solve for
Tap to see back →
This question is testing one's ability to understand logarithmic rules and apply them in order to solve a function.
For the purpose of Common Core Standards, "For exponential models, express as a logarithm the solution to ab^(ct) = d where a, c, and _d_are numbers and the base b is 2, 10, or e; evaluate the logarithm using technology." falls within the Cluster A of "Construct and compare linear, quadratic, and exponential models and solve problems" concept (CCSS.MATH.CONTENT.HSF-LE.A.4).
Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.
Step 1: Use algebraic operations to manipulate the function and isolate the value on one side of the equation.
Subtract five from both sides and then divide by four.
Step 2: Identify logarithmic rules.
Recall that
Step 3: Apply logarithmic rules to solve for .
This question is testing one's ability to understand logarithmic rules and apply them in order to solve a function.
For the purpose of Common Core Standards, "For exponential models, express as a logarithm the solution to ab^(ct) = d where a, c, and _d_are numbers and the base b is 2, 10, or e; evaluate the logarithm using technology." falls within the Cluster A of "Construct and compare linear, quadratic, and exponential models and solve problems" concept (CCSS.MATH.CONTENT.HSF-LE.A.4).
Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.
Step 1: Use algebraic operations to manipulate the function and isolate the
Subtract five from both sides and then divide by four.
Step 2: Identify logarithmic rules.
Recall that
Step 3: Apply logarithmic rules to solve for
Solve for using rules of logarithmic functions.
Solve for
Tap to see back →
This question is testing one's ability to understand logarithmic rules and apply them in order to solve a function.
For the purpose of Common Core Standards, "For exponential models, express as a logarithm the solution to ab^(ct) = d where a, c, and _d_are numbers and the base b is 2, 10, or e; evaluate the logarithm using technology." falls within the Cluster A of "Construct and compare linear, quadratic, and exponential models and solve problems" concept (CCSS.MATH.CONTENT.HSF-LE.A.4).
Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.
Step 1: Use algebraic operations to manipulate the function and isolate the value on one side of the equation.
Add six from both sides and then divide by four.
Step 2: Identify logarithmic rules.
Recall that
Step 3: Apply logarithmic rules to solve for .
This question is testing one's ability to understand logarithmic rules and apply them in order to solve a function.
For the purpose of Common Core Standards, "For exponential models, express as a logarithm the solution to ab^(ct) = d where a, c, and _d_are numbers and the base b is 2, 10, or e; evaluate the logarithm using technology." falls within the Cluster A of "Construct and compare linear, quadratic, and exponential models and solve problems" concept (CCSS.MATH.CONTENT.HSF-LE.A.4).
Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.
Step 1: Use algebraic operations to manipulate the function and isolate the
Add six from both sides and then divide by four.
Step 2: Identify logarithmic rules.
Recall that
Step 3: Apply logarithmic rules to solve for
Solve for using rules of logarithmic functions.
Solve for
Tap to see back →
This question is testing one's ability to understand logarithmic rules and apply them in order to solve a function.
For the purpose of Common Core Standards, "For exponential models, express as a logarithm the solution to ab^(ct) = d where a, c, and _d_are numbers and the base b is 2, 10, or e; evaluate the logarithm using technology." falls within the Cluster A of "Construct and compare linear, quadratic, and exponential models and solve problems" concept (CCSS.MATH.CONTENT.HSF-LE.A.4).
Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.
Step 1: Use algebraic operations to manipulate the function and isolate the value on one side of the equation.
Add two from both sides.
Step 2: Identify logarithmic rules.
Recall that
Step 3: Apply logarithmic rules to solve for .
This question is testing one's ability to understand logarithmic rules and apply them in order to solve a function.
For the purpose of Common Core Standards, "For exponential models, express as a logarithm the solution to ab^(ct) = d where a, c, and _d_are numbers and the base b is 2, 10, or e; evaluate the logarithm using technology." falls within the Cluster A of "Construct and compare linear, quadratic, and exponential models and solve problems" concept (CCSS.MATH.CONTENT.HSF-LE.A.4).
Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.
Step 1: Use algebraic operations to manipulate the function and isolate the
Add two from both sides.
Step 2: Identify logarithmic rules.
Recall that
Step 3: Apply logarithmic rules to solve for
Solve for using rules of logarithmic functions.
Solve for
Tap to see back →
This question is testing one's ability to understand logarithmic rules and apply them in order to solve a function.
For the purpose of Common Core Standards, "For exponential models, express as a logarithm the solution to ab^(ct) = d where a, c, and _d_are numbers and the base b is 2, 10, or e; evaluate the logarithm using technology." falls within the Cluster A of "Construct and compare linear, quadratic, and exponential models and solve problems" concept (CCSS.MATH.CONTENT.HSF-LE.A.4).
Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.
Step 1: Use algebraic operations to manipulate the function and isolate the value on one side of the equation.
Add one from both sides.
Step 2: Identify logarithmic rules.
Recall that
Step 3: Apply logarithmic rules to solve for .
This question is testing one's ability to understand logarithmic rules and apply them in order to solve a function.
For the purpose of Common Core Standards, "For exponential models, express as a logarithm the solution to ab^(ct) = d where a, c, and _d_are numbers and the base b is 2, 10, or e; evaluate the logarithm using technology." falls within the Cluster A of "Construct and compare linear, quadratic, and exponential models and solve problems" concept (CCSS.MATH.CONTENT.HSF-LE.A.4).
Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.
Step 1: Use algebraic operations to manipulate the function and isolate the
Add one from both sides.
Step 2: Identify logarithmic rules.
Recall that
Step 3: Apply logarithmic rules to solve for
Solve for using rules of logarithmic functions.
Solve for
Tap to see back →
This question is testing one's ability to understand logarithmic rules and apply them in order to solve a function.
For the purpose of Common Core Standards, "For exponential models, express as a logarithm the solution to ab^(ct) = d where a, c, and _d_are numbers and the base b is 2, 10, or e; evaluate the logarithm using technology." falls within the Cluster A of "Construct and compare linear, quadratic, and exponential models and solve problems" concept (CCSS.MATH.CONTENT.HSF-LE.A.4).
Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.
Step 1: Use algebraic operations to manipulate the function and isolate the value on one side of the equation.
Add one from both sides.
Step 2: Identify logarithmic rules.
Recall that
Step 3: Apply logarithmic rules to solve for .
This question is testing one's ability to understand logarithmic rules and apply them in order to solve a function.
For the purpose of Common Core Standards, "For exponential models, express as a logarithm the solution to ab^(ct) = d where a, c, and _d_are numbers and the base b is 2, 10, or e; evaluate the logarithm using technology." falls within the Cluster A of "Construct and compare linear, quadratic, and exponential models and solve problems" concept (CCSS.MATH.CONTENT.HSF-LE.A.4).
Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.
Step 1: Use algebraic operations to manipulate the function and isolate the
Add one from both sides.
Step 2: Identify logarithmic rules.
Recall that
Step 3: Apply logarithmic rules to solve for
Solve for using rules of logarithmic functions.
Solve for
Tap to see back →
This question is testing one's ability to understand logarithmic rules and apply them in order to solve a function.
For the purpose of Common Core Standards, "For exponential models, express as a logarithm the solution to ab^(ct) = d where a, c, and _d_are numbers and the base b is 2, 10, or e; evaluate the logarithm using technology." falls within the Cluster A of "Construct and compare linear, quadratic, and exponential models and solve problems" concept (CCSS.MATH.CONTENT.HSF-LE.A.4).
Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.
Step 1: Use algebraic operations to manipulate the function and isolate the value on one side of the equation.
Add one from both sides.
Step 2: Identify logarithmic rules.
Recall that and 
Step 3: Apply logarithmic rules to solve for .
This question is testing one's ability to understand logarithmic rules and apply them in order to solve a function.
For the purpose of Common Core Standards, "For exponential models, express as a logarithm the solution to ab^(ct) = d where a, c, and _d_are numbers and the base b is 2, 10, or e; evaluate the logarithm using technology." falls within the Cluster A of "Construct and compare linear, quadratic, and exponential models and solve problems" concept (CCSS.MATH.CONTENT.HSF-LE.A.4).
Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.
Step 1: Use algebraic operations to manipulate the function and isolate the
Add one from both sides.
Step 2: Identify logarithmic rules.
Recall that
Step 3: Apply logarithmic rules to solve for
Solve for using rules of logarithmic functions.
Solve for
Tap to see back →
This question is testing one's ability to understand logarithmic rules and apply them in order to solve a function.
For the purpose of Common Core Standards, "For exponential models, express as a logarithm the solution to ab^(ct) = d where a, c, and _d_are numbers and the base b is 2, 10, or e; evaluate the logarithm using technology." falls within the Cluster A of "Construct and compare linear, quadratic, and exponential models and solve problems" concept (CCSS.MATH.CONTENT.HSF-LE.A.4).
Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.
Step 1: Use algebraic operations to manipulate the function and isolate the value on one side of the equation.
Subtract two from both sides.
Step 2: Identify logarithmic rules.
Recall that
Step 3: Apply logarithmic rules to solve for .
This question is testing one's ability to understand logarithmic rules and apply them in order to solve a function.
For the purpose of Common Core Standards, "For exponential models, express as a logarithm the solution to ab^(ct) = d where a, c, and _d_are numbers and the base b is 2, 10, or e; evaluate the logarithm using technology." falls within the Cluster A of "Construct and compare linear, quadratic, and exponential models and solve problems" concept (CCSS.MATH.CONTENT.HSF-LE.A.4).
Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.
Step 1: Use algebraic operations to manipulate the function and isolate the
Subtract two from both sides.
Step 2: Identify logarithmic rules.
Recall that
Step 3: Apply logarithmic rules to solve for
Solve for using rules of logarithmic functions.
Solve for
Tap to see back →
This question is testing one's ability to understand logarithmic rules and apply them in order to solve a function.
For the purpose of Common Core Standards, "For exponential models, express as a logarithm the solution to ab^(ct) = d where a, c, and _d_are numbers and the base b is 2, 10, or e; evaluate the logarithm using technology." falls within the Cluster A of "Construct and compare linear, quadratic, and exponential models and solve problems" concept (CCSS.MATH.CONTENT.HSF-LE.A.4).
Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.
Step 1: Use algebraic operations to manipulate the function and isolate the value on one side of the equation.
Subtract one from both sides.
Step 2: Identify logarithmic rules.
Recall that
Step 3: Apply logarithmic rules to solve for .
This question is testing one's ability to understand logarithmic rules and apply them in order to solve a function.
For the purpose of Common Core Standards, "For exponential models, express as a logarithm the solution to ab^(ct) = d where a, c, and _d_are numbers and the base b is 2, 10, or e; evaluate the logarithm using technology." falls within the Cluster A of "Construct and compare linear, quadratic, and exponential models and solve problems" concept (CCSS.MATH.CONTENT.HSF-LE.A.4).
Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.
Step 1: Use algebraic operations to manipulate the function and isolate the
Subtract one from both sides.
Step 2: Identify logarithmic rules.
Recall that
Step 3: Apply logarithmic rules to solve for
Solve for using rules of logarithmic functions.
Solve for
Tap to see back →
This question is testing one's ability to understand logarithmic rules and apply them in order to solve a function.
For the purpose of Common Core Standards, "For exponential models, express as a logarithm the solution to ab^(ct) = d where a, c, and _d_are numbers and the base b is 2, 10, or e; evaluate the logarithm using technology." falls within the Cluster A of "Construct and compare linear, quadratic, and exponential models and solve problems" concept (CCSS.MATH.CONTENT.HSF-LE.A.4).
Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.
Step 1: Use algebraic operations to manipulate the function and isolate the value on one side of the equation.
Subtract one from both sides.
Step 2: Identify logarithmic rules.
Recall that
Step 3: Apply logarithmic rules to solve for .
This question is testing one's ability to understand logarithmic rules and apply them in order to solve a function.
For the purpose of Common Core Standards, "For exponential models, express as a logarithm the solution to ab^(ct) = d where a, c, and _d_are numbers and the base b is 2, 10, or e; evaluate the logarithm using technology." falls within the Cluster A of "Construct and compare linear, quadratic, and exponential models and solve problems" concept (CCSS.MATH.CONTENT.HSF-LE.A.4).
Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.
Step 1: Use algebraic operations to manipulate the function and isolate the
Subtract one from both sides.
Step 2: Identify logarithmic rules.
Recall that
Step 3: Apply logarithmic rules to solve for
Solve for using rules of logarithmic functions.
Solve for
Tap to see back →
This question is testing one's ability to understand logarithmic rules and apply them in order to solve a function.
For the purpose of Common Core Standards, "For exponential models, express as a logarithm the solution to ab^(ct) = d where a, c, and _d_are numbers and the base b is 2, 10, or e; evaluate the logarithm using technology." falls within the Cluster A of "Construct and compare linear, quadratic, and exponential models and solve problems" concept (CCSS.MATH.CONTENT.HSF-LE.A.4).
Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.
Step 1: Use algebraic operations to manipulate the function and isolate the value on one side of the equation.
Subtract five from both sides and then divide by two.
Step 2: Identify logarithmic rules.
Recall that
Step 3: Apply logarithmic rules to solve for .
This question is testing one's ability to understand logarithmic rules and apply them in order to solve a function.
For the purpose of Common Core Standards, "For exponential models, express as a logarithm the solution to ab^(ct) = d where a, c, and _d_are numbers and the base b is 2, 10, or e; evaluate the logarithm using technology." falls within the Cluster A of "Construct and compare linear, quadratic, and exponential models and solve problems" concept (CCSS.MATH.CONTENT.HSF-LE.A.4).
Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.
Step 1: Use algebraic operations to manipulate the function and isolate the
Subtract five from both sides and then divide by two.
Step 2: Identify logarithmic rules.
Recall that
Step 3: Apply logarithmic rules to solve for
Solve for using rules of logarithmic functions.
Solve for
Tap to see back →
This question is testing one's ability to understand logarithmic rules and apply them in order to solve a function.
For the purpose of Common Core Standards, "For exponential models, express as a logarithm the solution to ab^(ct) = d where a, c, and _d_are numbers and the base b is 2, 10, or e; evaluate the logarithm using technology." falls within the Cluster A of "Construct and compare linear, quadratic, and exponential models and solve problems" concept (CCSS.MATH.CONTENT.HSF-LE.A.4).
Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.
Step 1: Use algebraic operations to manipulate the function and isolate the value on one side of the equation.
Subtract five from both sides and then divide by four.
Step 2: Identify logarithmic rules.
Recall that
Step 3: Apply logarithmic rules to solve for .
This question is testing one's ability to understand logarithmic rules and apply them in order to solve a function.
For the purpose of Common Core Standards, "For exponential models, express as a logarithm the solution to ab^(ct) = d where a, c, and _d_are numbers and the base b is 2, 10, or e; evaluate the logarithm using technology." falls within the Cluster A of "Construct and compare linear, quadratic, and exponential models and solve problems" concept (CCSS.MATH.CONTENT.HSF-LE.A.4).
Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.
Step 1: Use algebraic operations to manipulate the function and isolate the
Subtract five from both sides and then divide by four.
Step 2: Identify logarithmic rules.
Recall that
Step 3: Apply logarithmic rules to solve for
Solve for using rules of logarithmic functions.
Solve for
Tap to see back →
This question is testing one's ability to understand logarithmic rules and apply them in order to solve a function.
For the purpose of Common Core Standards, "For exponential models, express as a logarithm the solution to ab^(ct) = d where a, c, and _d_are numbers and the base b is 2, 10, or e; evaluate the logarithm using technology." falls within the Cluster A of "Construct and compare linear, quadratic, and exponential models and solve problems" concept (CCSS.MATH.CONTENT.HSF-LE.A.4).
Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.
Step 1: Use algebraic operations to manipulate the function and isolate the value on one side of the equation.
Subtract five from both sides and then divide by four.
Step 2: Identify logarithmic rules.
Recall that
Step 3: Apply logarithmic rules to solve for .
This question is testing one's ability to understand logarithmic rules and apply them in order to solve a function.
For the purpose of Common Core Standards, "For exponential models, express as a logarithm the solution to ab^(ct) = d where a, c, and _d_are numbers and the base b is 2, 10, or e; evaluate the logarithm using technology." falls within the Cluster A of "Construct and compare linear, quadratic, and exponential models and solve problems" concept (CCSS.MATH.CONTENT.HSF-LE.A.4).
Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.
Step 1: Use algebraic operations to manipulate the function and isolate the
Subtract five from both sides and then divide by four.
Step 2: Identify logarithmic rules.
Recall that
Step 3: Apply logarithmic rules to solve for
Solve for using rules of logarithmic functions.
Solve for
Tap to see back →
This question is testing one's ability to understand logarithmic rules and apply them in order to solve a function.
For the purpose of Common Core Standards, "For exponential models, express as a logarithm the solution to ab^(ct) = d where a, c, and _d_are numbers and the base b is 2, 10, or e; evaluate the logarithm using technology." falls within the Cluster A of "Construct and compare linear, quadratic, and exponential models and solve problems" concept (CCSS.MATH.CONTENT.HSF-LE.A.4).
Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.
Step 1: Use algebraic operations to manipulate the function and isolate the value on one side of the equation.
Add six from both sides and then divide by four.
Step 2: Identify logarithmic rules.
Recall that
Step 3: Apply logarithmic rules to solve for .
This question is testing one's ability to understand logarithmic rules and apply them in order to solve a function.
For the purpose of Common Core Standards, "For exponential models, express as a logarithm the solution to ab^(ct) = d where a, c, and _d_are numbers and the base b is 2, 10, or e; evaluate the logarithm using technology." falls within the Cluster A of "Construct and compare linear, quadratic, and exponential models and solve problems" concept (CCSS.MATH.CONTENT.HSF-LE.A.4).
Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.
Step 1: Use algebraic operations to manipulate the function and isolate the
Add six from both sides and then divide by four.
Step 2: Identify logarithmic rules.
Recall that
Step 3: Apply logarithmic rules to solve for
Solve for using rules of logarithmic functions.
Solve for
Tap to see back →
This question is testing one's ability to understand logarithmic rules and apply them in order to solve a function.
For the purpose of Common Core Standards, "For exponential models, express as a logarithm the solution to ab^(ct) = d where a, c, and _d_are numbers and the base b is 2, 10, or e; evaluate the logarithm using technology." falls within the Cluster A of "Construct and compare linear, quadratic, and exponential models and solve problems" concept (CCSS.MATH.CONTENT.HSF-LE.A.4).
Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.
Step 1: Use algebraic operations to manipulate the function and isolate the value on one side of the equation.
Add two from both sides.
Step 2: Identify logarithmic rules.
Recall that
Step 3: Apply logarithmic rules to solve for .
This question is testing one's ability to understand logarithmic rules and apply them in order to solve a function.
For the purpose of Common Core Standards, "For exponential models, express as a logarithm the solution to ab^(ct) = d where a, c, and _d_are numbers and the base b is 2, 10, or e; evaluate the logarithm using technology." falls within the Cluster A of "Construct and compare linear, quadratic, and exponential models and solve problems" concept (CCSS.MATH.CONTENT.HSF-LE.A.4).
Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.
Step 1: Use algebraic operations to manipulate the function and isolate the
Add two from both sides.
Step 2: Identify logarithmic rules.
Recall that
Step 3: Apply logarithmic rules to solve for
Solve for using rules of logarithmic functions.
Solve for
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This question is testing one's ability to understand logarithmic rules and apply them in order to solve a function.
For the purpose of Common Core Standards, "For exponential models, express as a logarithm the solution to ab^(ct) = d where a, c, and _d_are numbers and the base b is 2, 10, or e; evaluate the logarithm using technology." falls within the Cluster A of "Construct and compare linear, quadratic, and exponential models and solve problems" concept (CCSS.MATH.CONTENT.HSF-LE.A.4).
Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.
Step 1: Use algebraic operations to manipulate the function and isolate the value on one side of the equation.
Add one from both sides.
Step 2: Identify logarithmic rules.
Recall that
Step 3: Apply logarithmic rules to solve for .
This question is testing one's ability to understand logarithmic rules and apply them in order to solve a function.
For the purpose of Common Core Standards, "For exponential models, express as a logarithm the solution to ab^(ct) = d where a, c, and _d_are numbers and the base b is 2, 10, or e; evaluate the logarithm using technology." falls within the Cluster A of "Construct and compare linear, quadratic, and exponential models and solve problems" concept (CCSS.MATH.CONTENT.HSF-LE.A.4).
Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.
Step 1: Use algebraic operations to manipulate the function and isolate the
Add one from both sides.
Step 2: Identify logarithmic rules.
Recall that
Step 3: Apply logarithmic rules to solve for