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Logarithmic Functions Section 3.2. Objectives Rewrite an exponential equation in logarithmic form. Rewrite a logarithmic equation in exponential form.

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Presentation on theme: "Logarithmic Functions Section 3.2. Objectives Rewrite an exponential equation in logarithmic form. Rewrite a logarithmic equation in exponential form."— Presentation transcript:

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 > 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

11 Solve for x.

12 Find the domain and range of

13 Properties of Logarithms


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