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Section 9.3 Logarithmic Functions Graphs of Logarithmic Functions Log 2 x Equivalent Equations Solving Certain Logarithmic Equations 9.31

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Inverses of Exponential Functions f(x) = 2 x f -1 (x) = ? x = 2 y Logarithmic Functions: Ranges are Exponents Notation: f -1 (x) = log 2 x “the log, base 2, of x …” means: the exponent of 2 needed to get x” 9.32

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Evaluating Log Expressions 9.33

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General Definition of Logarithms 9.34

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“A Logarithm is an Exponent” Simplify: 9.35

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Graphing – Make Table of Many Points 9.36

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Equivalent Equations (MEMORIZE) 9.37

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Solving Certain Log Equations Rewrite them as equivalent exponential equations: 9.38

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Principle of Exponential Equality 9.39

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What Next? Parabolas, Circles, Ellipses Chapter 10 Chapter 10 9.310

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