All High School Math Resources
Example Question #1 : Using Natural Log And Log Base 10
Most of us don't know what the exponent would be if and unfortunately there is no on a graphing calculator -- only (which stands for ).
Fortunately we can use the base change rule:
Plug in our given values.
Example Question #2 : Using Natural Log And Log Base 10
Based on the definition of logarithms, what is ?
For any equation , . Thus, we are trying to determine what power of 10 is 1000. , so our answer is 3.
Example Question #3 : Using Natural Log And Log Base 10
What is the value of that satisfies the equation ?
is equivalent to . In this case, you know the value of (the argument of a logarithmic equation) and b (the answer to the logarithmic equation). You must find a solution for the base.