### All High School Math Resources

## Example Questions

### Example Question #1 : 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 : Log Base 10

Based on the definition of logarithms, what is ?

**Possible Answers:**

3

10

2

4

100

**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.

### All High School Math Resources

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