Copyright 2010 Pearson Education Inc All rights reserved

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Copyright © 2010 Pearson Education, Inc. All rights reserved Sec 11. 3 - 1

Copyright © 2010 Pearson Education, Inc. All rights reserved Sec 11. 3 - 1

Chapter 11 Inverse, Exponential and Logarithmic Functions Copyright © 2010 Pearson Education, Inc. All

Chapter 11 Inverse, Exponential and Logarithmic Functions Copyright © 2010 Pearson Education, Inc. All rights reserved Sec 11. 3 - 2

11. 3 Logarithmic Functions Copyright © 2010 Pearson Education, Inc. All rights reserved Sec

11. 3 Logarithmic Functions Copyright © 2010 Pearson Education, Inc. All rights reserved Sec 11. 3 - 3

Objectives 1. Define a logarithm. 2. Convert between exponential and logarithmic forms. 3. Solve

Objectives 1. Define a logarithm. 2. Convert between exponential and logarithmic forms. 3. Solve logarithmic equations of the form loga b = k for a, b, or k. 4. Define and graph logarithmic functions. 5. Use logarithmic functions in applications involving growth or decay. Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 11. 3 - 4

11. 3 Logarithmic Functions Define a Logarithm Copyright © 2010 Pearson Education, Inc. All

11. 3 Logarithmic Functions Define a Logarithm Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 11. 3 - 5

11. 3 Logarithmic Functions Define a Logarithm Copyright © 2010 Pearson Education, Inc. All

11. 3 Logarithmic Functions Define a Logarithm Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 11. 3 - 6

11. 3 Logarithmic Functions The Meaning of Logarithm Copyright © 2010 Pearson Education, Inc.

11. 3 Logarithmic Functions The Meaning of Logarithm Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 11. 3 - 7

11. 3 Logarithmic Functions Converting Between Exponential / Logarithmic Forms Copyright © 2010 Pearson

11. 3 Logarithmic Functions Converting Between Exponential / Logarithmic Forms Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 11. 3 - 8

11. 3 Logarithmic Functions Solving Logarithmic Equations Copyright © 2010 Pearson Education, Inc. All

11. 3 Logarithmic Functions Solving Logarithmic Equations Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 11. 3 - 9

11. 3 Logarithmic Functions Solving Logarithmic Equations Copyright © 2010 Pearson Education, Inc. All

11. 3 Logarithmic Functions Solving Logarithmic Equations Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 11. 3 - 10

11. 3 Logarithmic Functions Solving Logarithmic Equations Copyright © 2010 Pearson Education, Inc. All

11. 3 Logarithmic Functions Solving Logarithmic Equations Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 11. 3 - 11

11. 3 Logarithmic Functions Defining a Logarithmic Function Copyright © 2010 Pearson Education, Inc.

11. 3 Logarithmic Functions Defining a Logarithmic Function Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 11. 3 - 12

11. 3 Logarithmic Functions Graphing a Logarithmic Function Copyright © 2010 Pearson Education, Inc.

11. 3 Logarithmic Functions Graphing a Logarithmic Function Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 11. 3 - 13

11. 3 Logarithmic Functions Graphing a Logarithmic Function Graph rises left to right. Graph

11. 3 Logarithmic Functions Graphing a Logarithmic Function Graph rises left to right. Graph falls left to right. Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 11. 3 - 14

11. 3 Logarithmic Functions Solving an Application Problem with Logarithms Copyright © 2010 Pearson

11. 3 Logarithmic Functions Solving an Application Problem with Logarithms Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 11. 3 - 15

11. 3 Logarithmic Functions Solving an Application Problem with Logarithms Copyright © 2010 Pearson

11. 3 Logarithmic Functions Solving an Application Problem with Logarithms Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 11. 3 - 16