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

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

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

Evaluating Log Expressions 9.33

General Definition of Logarithms 9.34

“A Logarithm is an Exponent”  Simplify: 9.35

Graphing – Make Table of Many Points 9.36

Equivalent Equations (MEMORIZE) 9.37

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

Principle of Exponential Equality 9.39

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

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