2. Logarithms

3. Exponential Equations: Logarithmic Equations: Exponent Base Exponent What it equals

4. Reading Logarithms

5. Example 1: Write the exponential equation in logarithmic form

6. You Try 1:Write the exponential equation in logarithmic form

7. Example 2: Write the logarithmic equation in exponential form

8. ▪ A logarithm with base 10 is called a common logarithm. If no base is written for the logarithm, the base is assumed to be 10. ▪ Ex: log 4 ▪ Special properties of logarithms: Logarithmic FormExponential FormExample Logarithm of base b: Logarithm of 1:

9. Evaluating Logarithms ▪ When it comes to evaluating logarithms, ask yourself this question, “what raised to the x power gives me this value?” ▪ Then decide what x is

10. Example 3: Evaluate

11. You Try 2: Evaluate

12. Example 4:Evaluate

13. Using Inverses

14. Example 5: Simplify the expression

15. You Try 3: Simplify the expression

16. Example 6:

17. Graphing Logarithms ▪ Remember earlier in the lesson I told you logarithms were the inverse of exponentials. ▪ When it comes to graphing logarithms, make a table of the logarithm in exponential form and switch your x and y values. ▪ Furthermore everything vertical becomes horizontal and everything horizontal becomes vertical (this is in respects to your asymptotes).

18. Example 6: Find the inverse of the following and graph the inverse x -2 2 04 110 228 x 2 40 101 282

19. Homework: Page 277 17-30 all (29-30 don’t describe the domain and range of each function)