1. Exponential and Logarithmic Equations

2. Exponential Equations Exponential Equation: an equation where the exponent includes a variable. To solve, you take the logarithm of each side.

3. Solve

6. Definition Logarithmic Equations: An equation that includes a logarithmic expression.

7. Example 1

8. Example 2

9. Example 3

10. Example 4

11. Example 5

12. Example 6

13. Word Problems The value of a new car purchased for $24,900 decreases by 10% per year. After how many years will the car be worth half its purchase price?

14. Compounded Interest r = rate t= time (in years) P = principal(initial amount) A= Ending amount n= how many times in a year: Ex: if monthly n=12

15. Example Suppose you invest $5000 at an annual interest rate of 6.9% compounded monthly. A.) How much will you have in the account after 10 years? B.) Determine how much more you would have if the interest were compounded continuously.