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

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Presentation transcript:

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

C LOGARITHMIC FUNCTIONS AND THEIR GRAPHS Section 3.2

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)

Definition of Logarithmic Function

Switching Forms

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

Closure – Exit Ticket

Warm – Up

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

Evaluating Logarithms

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

Common Logarithmic Function

Properties of Logarithms 1. log a 1 = 0 since a 0 = 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

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 = 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

Graphing Logarithmic Functions

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

Closure