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Logarithmic Functions

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common logarithm. natural logarithm. Find the inverse of the ... Evaluate the following. Solve for x. Find the domain and range of. Properties of Logarithms ... – PowerPoint PPT presentation

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Title: Logarithmic Functions


1
Logarithmic Functions
  • Section 3.2

2
Objectives
  • Rewrite an exponential equation in logarithmic
    form.
  • Rewrite a logarithmic equation in exponential
    form.
  • Evaluate a simple logarithmic expression.
  • Find a missing piece of a logarithmic equation
    given all the other pieces.
  • Find the equation of a logarithmic function given
    a point.
  • Graph a logarithmic function.
  • Determine the transformation of a logarithmic
    function.
  • State the domain and range of a logarithmic
    function.

3
Vocabulary
  • logarithmic function
  • base of a logarithmic function
  • logarithmic form
  • exponential form
  • common logarithm
  • natural logarithm

4
Find the inverse of the function f
5
Formula
  • basic logarithmic function

where a gt 0 and a ? 1
6
Express each equation in logarithmic form.
7
Express each equation in exponential form.
8
Graph the function
What it the domain of the function? What is the
range of the function? What is(are) the
x-intercepts? What is(are) the y-intercepts?
9
  • Evaluate the following

10
  • Evaluate the following

11
  • Solve for x.

12
Find the domain and range of
13
Properties of Logarithms
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