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6.3 Logarithmic Functions

6.3 Logarithmic Functions - Logarithmic Function...

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Logarithmic Functions Section 6.3

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Natural Logarithms

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Defn. of the Natural Logarithmic Function From the defn., you can see that ln x Is positive for x>1 and negative for 0<x<1. 0 , 1 1 x dt t x
Definition of e The letter e denotes the positvie real number such that ln e = = 1 dt t e 1 1

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e 2.71828182846 Area = =1 1 2 3 e is the base for the natural logarithm Because ln e = 1. dt t e 1 1 t y 1 =
1 2 3 1 y = ln x

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Properties of the Natural

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Unformatted text preview: Logarithmic Function Logarithmic Properties 1. ln (1) = 0 2. ln (ab) = ln a + ln b 3. ln (an) = n ln a 4. ln = ln a – ln b b a Change of Base Formula Joke Time What do you call a deer with no eyes? I-have-no-eye-deer (I have no idea!) What did the teddy bear say after eating a whole bag of cookies? I’m stuffed!...
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