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6.3 Logarithmic Functions
Today’s Date: 1/31/18
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Logarithmic Functions (Inverse of exponential function)
(Go around the world)
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Logarithms Facts: Features: Domain: set of positive Range:
See graphs in next 2 examples
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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
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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
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Properties of Logs
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Examples 3) 4) Change to exp form Write as same base
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Examples 5) (Bases are always positive ) 6)
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Homework #603 Pg – 59 odd
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