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Understanding Logarithmic Functions: Concepts and Graphing Techniques

This lesson explores logarithmic functions, focusing on their applications in finding missing exponents. We discuss how to express logarithms, such as rewriting ( 32 = 9 ) as ( log_3(9) = 2 ). Additionally, we evaluate logarithms by setting them equal to variables (e.g., solving ( log_8(64) = x )). Graphing techniques are covered, teaching how to convert logarithmic expressions into exponential forms and analyze graphs, like ( y = log_3(x + 1) ).

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Understanding Logarithmic Functions: Concepts and Graphing Techniques

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  1. 11-4 Logarithmic Functions

  2. 2? = 1.23 We use logarithms to find missing exponents.

  3. How to write a logarithm… For example, 32 = 9 will be written as Log39=2

  4. We can evaluate a logarithm by setting it equal to x: Ex) Evaluate log8 64 Log864=x 8x=64 X=2

  5. You can graph logarithms by writing them in exponential form then plugging in values. Graph y=log3(x+1)

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