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Section 9.3 Logarithmic Functions

Section 9.3 Logarithmic Functions. Graphs of Logarithmic Functions Log 2 x Equivalent Equations Solving Certain Logarithmic Equations. Inverses of Exponential Functions f(x) = 2 x f -1 (x) = ? x = 2 y. Logarithmic Functions: Ranges are Exponents Notation:

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Section 9.3 Logarithmic Functions

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  1. Section 9.3 Logarithmic Functions • Graphs of Logarithmic Functions Log2x • Equivalent Equations • Solving Certain Logarithmic Equations 9.3

  2. Inverses of Exponential Functionsf(x) = 2 x f -1(x) = ? x = 2 y Logarithmic Functions: Ranges are Exponents Notation: f -1(x) = log2x “the log, base 2, of x …” means: the exponent of 2 needed to get x” 9.3

  3. Evaluating Log Expressions 9.3

  4. General Definition of Logarithms 9.3

  5. “A Logarithm is an Exponent” • Simplify: 9.3

  6. Graphing – Make Table of Many Points 9.3

  7. Equivalent Equations (MEMORIZE) 9.3

  8. Solving Certain Log Equations • Rewrite them as equivalent exponential equations: 9.3

  9. Principle of Exponential Equality 9.3

  10. What Next? Parabolas, Circles, Ellipses • Chapter 10 9.3

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