High School Math : Using Natural Log and Log-Base-10

Study concepts, example questions & explanations for High School Math

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Example Questions

Example Question #2 : Logarithms

Possible Answers:

Correct answer:

Explanation:

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 #1 : Logarithms

Based on the definition of logarithms, what is  ? 

Possible Answers:

2

4

100

10

3

Correct answer:

3

Explanation:

For any equation , . Thus, we are trying to determine what power of 10 is 1000. , so our answer is 3. 

Example Question #2 : Logarithms

What is the value of  that satisfies the equation  ?

Possible Answers:

Correct answer:

Explanation:

 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.

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