# High School Math : Exponential and Logarithmic Functions

## Example Questions

### Example Question #1 : Exponential And Logarithmic Functions

You are given that and Which of the following is equal to ?      Explanation:

Since and , it follows that and  ### Example Question #1 : Solving Logarithms       Explanation:  ### Example Question #3 : Exponential And Logarithmic Functions

What is       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 #4 : Exponential And Logarithmic Functions

Solve for   The correct solution set is not included among the other choices.   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 #1 : Simplifying Exponential Functions          