1. Warm – Up Practice worksheet 3.1 Practice identifying and using the correct formula which is necessary to solve a problem Compound Interests and Annuities

2. C LOGARITHMIC FUNCTIONS AND THEIR GRAPHS Section 3.2

3. Objectives Students will be able to… Decipher between and use each interest and exponential application formula Determine the difference between a present value and future value annuity Switch between exponential and logarithmic forms (Evaluate logs and natural logs)

4. Definition of Logarithmic Function

5. Switching Forms

6. Practice “The Meaning of Logarithms” Worksheet Problems 1 – 20 _______ minutes

7. Closure – Exit Ticket

8. Warm – Up

9. Objectives Students will be able to… Evaluate logs and natural logs Use inverse symmetry to connect exponential and logarithmic graphs Recognize and transform the parent graph of log functions

10. Evaluating Logarithms

11. Practice: Evaluate the Logarithm 1.y = log 2 16 2.y = log 2 ( ) 3.y = log 4 16 4.y = log 5 1

12. Common Logarithmic Function

13. Properties of Logarithms 1. log a 1 = 0 since a 0 = 1. 2. log a a = 1 since a 1 = a. 3. log a a x = x 4. If log a x = log a y, then x = y. one-to-one property Examples : 1. Solve for x: log 6 6 = x 2. Simplify: log 3 3 5

14. Properties of Natural Logs (Ln is the exact same idea as logs. Ln is in base e. Logs are (usually) base 10) 1. ln 1 = 0 since e 0 = 1. 2. ln e = 1 since e 1 = e. 3. ln e x = x 4. If ln x = ln y, then x = y. one-to-one property Examples: Simplify

15. Graphing Logarithmic Functions

20. Practice Work on “Graphing Logarithms” worksheet (finish for homework.

21. Closure