High School Math : Exponential and Logarithmic Functions

Study concepts, example questions & explanations for High School Math

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Example Questions

Example Question #1 : Logarithmic Functions

You are given that  and 

Which of the following is equal to  ?

Possible Answers:

Correct answer:

Explanation:

Since  and , it follows that  and 

Example Question #1 : Solving Logarithms

Possible Answers:

Correct answer:

Explanation:

Example Question #2 : Solving Logarithms

What is 

Possible Answers:

Correct answer:

Explanation:

Recall that by definition a logarithm is the inverse of the exponential function. Thus, our logarithm corresponds to the value of  in the equation: 

We know that  and thus our answer is .

Example Question #1 : Simplifying Logarithms

Solve for

Possible Answers:

The correct solution set is not included among the other choices.

Correct answer:

The correct solution set is not included among the other choices.

Explanation:

FOIL: 

These are our possible solutions. However, we need to test them.

 

:

 

The equation becomes . This is true, so  is a solution.

 

:

 

However, negative numbers do not have logarithms, so this equation is meaningless.  is not a solution, and  is the one and only solution. Since this is not one of our choices, the correct response is "The correct solution set is not included among the other choices."

Example Question #2041 : High School Math

Possible Answers:

Correct answer:

Explanation:

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