### All High School Math Resources

## Example Questions

### Example Question #43 : Understanding Logarithms

**Possible Answers:**

**Correct answer:**

is equivalent to . In other words, we know the base and we know the result; we're looking for the exponent to get us there.

The best way to solve a problem like this is to use a base change. can also be solved as . The great part of this is that when you use the function on your calculator, it's already set to a base of .

Go ahead and plug in the numbers from the problem to solve.

### Example Question #1 : Using Natural Log And Log Base 10

**Possible Answers:**

**Correct answer:**

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 #3 : Understanding Logarithms

Based on the definition of logarithms, what is ?

**Possible Answers:**

10

3

2

100

4

**Correct answer:**

3

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

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### All High School Math Resources

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