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Copyright © 2010 Pearson Education, Inc. All rights reserved Sec 11.3 - 1.

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Presentation on theme: "Copyright © 2010 Pearson Education, Inc. All rights reserved Sec 11.3 - 1."— Presentation transcript:

1 Copyright © 2010 Pearson Education, Inc. All rights reserved Sec 11.3 - 1

2 Copyright © 2010 Pearson Education, Inc. All rights reserved Sec 11.3 - 2 Inverse, Exponential and Logarithmic Functions Chapter 11

3 Copyright © 2010 Pearson Education, Inc. All rights reserved Sec 11.3 - 3 11.3 Logarithmic Functions

4 Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 11.3 - 4 11.3 Logarithmic Functions Objectives 1.Define a logarithm. 2.Convert between exponential and logarithmic forms. 3.Solve logarithmic equations of the form log a b = k for a, b, or k. 4.Define and graph logarithmic functions. 5.Use logarithmic functions in applications involving growth or decay.

5 Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 11.3 - 5 11.3 Logarithmic Functions Define a Logarithm

6 Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 11.3 - 6 11.3 Logarithmic Functions Define a Logarithm

7 Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 11.3 - 7 11.3 Logarithmic Functions The Meaning of Logarithm

8 Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 11.3 - 8 11.3 Logarithmic Functions Converting Between Exponential / Logarithmic Forms

9 Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 11.3 - 9 11.3 Logarithmic Functions Solving Logarithmic Equations

10 Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 11.3 - 10 11.3 Logarithmic Functions Solving Logarithmic Equations

11 Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 11.3 - 11 11.3 Logarithmic Functions Solving Logarithmic Equations

12 Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 11.3 - 12 11.3 Logarithmic Functions Defining a Logarithmic Function

13 Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 11.3 - 13 11.3 Logarithmic Functions Graphing a Logarithmic Function

14 Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 11.3 - 14 11.3 Logarithmic Functions Graphing a Logarithmic Function Graph rises left to right. Graph falls left to right.

15 Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 11.3 - 15 11.3 Logarithmic Functions Solving an Application Problem with Logarithms

16 Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 11.3 - 16 11.3 Logarithmic Functions Solving an Application Problem with Logarithms


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