Section 5.5 class notes_3

Section 5.5 class notes_3 - Section 5.5 Exponential and...

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Section 5.5 Exponential and Logarithmic Equations Definition of the Logarithmic Function For 0, 0and 1 x b b , if log b y x = , then y x b = , and if y x b = , then log b y x = . The Logarithm Property of Equality For 0, 1, b b 0 u , and 0 v , if log log b b u v = , then u v = , and if u v = , then log log b b u v = . Properties of Logarithms For 0, 1, b b 0 u , and 0 v , log log log b b b uv u v = + Product Rule for Logarithms log log log b b b u u v v = - Quotient Rule for Logarithms log log b b r u r u = Power Rule for Logarithms Change of Base Formula For any positive base 1 b and for any positive real number u , then log log log a b a u u b = where a is any positive number such that 1 a . Note that the preferred choices for a are 10 and e.
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Objective 1: Solving Exponential Equations Solving Exponential Equations If the equation can be written in the form u v b b = (relating the bases), then solve the equation = u v . If the equation can be written in the form
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This note was uploaded on 09/08/2011 for the course MATH 1001 taught by Professor Moshe during the Spring '09 term at LSU.

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Section 5.5 class notes_3 - Section 5.5 Exponential and...

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