1. 3.4 Exponential and Logarithmic Equations Students will solve simple and more complicated exponential and logarithmic equations. Students will use exponential and logarithmic equations to model and solve real-life problems.

2. Properties of Logarithms 1. If then 2. 3. 4. 5.

3. Example 1 a.b.

4. Example 2

5. Example 3

6. Example 4 a.b.

7. Example 5

8. Example 6

9. Example 7: Check for Extraneous Solutions

10. Example 8 Approximate to three decimal places the solution of

11. Example 9 You have deposited $500 in an account that pays 6.75% interest, compounded continuously. How long will it take your money to double?

12. Example 10 For selected years from 1980 to 2000, the average salary y (in thousands of dollars) for public school teachers for the year t can be modeled by the equation where t = 10 represents 1980. During which year did the average salary for public school teachers reach $40,000?