6.3 Logarithmic Functions

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Presentation transcript:

6.3 Logarithmic Functions Today’s Date: 1/31/18

Logarithmic Functions (Inverse of exponential function) (Go around the world)

Logarithms Facts: Features: Domain: set of positive Range: See graphs in next 2 examples

Example 1 Graph x y Plug values into y 2-2 = 1/4 -2 2-1 = 1/2 -1 20 = 21 = 2 1 Typical graph of log function with a > 1 22 = 4 2

Example 2 Graph x y Plug values into y (1/2)-2 = 4 -2 (1/2)-1 = 2 -1 (1/2)0 = 1 (1/2)1 = 1/2 1 Typical graph of log function with 0< a < 1 (1/2)2 = 1/4 2

Properties of Logs

Examples 3) 4) Change to exp form Write as same base

Examples 5) (Bases are always positive ) 6)

Homework #603 Pg. 363 1 – 59 odd