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OBJECTIVES:
1. Define a logarithm.
2. Convert between exponential and logarithmic forms.
3. Define and graph logarithmic functions. 5. Use logarithmic functions in applications involving growth or decay.
1.
Copyright © 2010 Pearson Education, Inc. All rights reserved
Sec 11.3 - 1
2.
Chapter 11
Inverse, Exponential
and
Logarithmic Functions
Copyright © 2010 Pearson Education, Inc. All rights reserved
Sec 11.3 - 2
3.
11.3
Logarithmic Functions
Copyright © 2010 Pearson Education, Inc. All rights reserved
Sec 11.3 - 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
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
5.
11.3 Logarithmic Functions
Define a Logarithm
Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 11.3 - 5
6.
11.3 Logarithmic Functions
Define a Logarithm
Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 11.3 - 6
7.
11.3 Logarithmic Functions
The Meaning of Logarithm
Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 11.3 - 7
8.
11.3 Logarithmic Functions
Converting Between Exponential / Logarithmic Forms
Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 11.3 - 8
9.
11.3 Logarithmic Functions
Solving Logarithmic Equations
Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 11.3 - 9
10.
11.3 Logarithmic Functions
Solving Logarithmic Equations
Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 11.3 - 10
11.
11.3 Logarithmic Functions
Solving Logarithmic Equations
Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 11.3 - 11
12.
11.3 Logarithmic Functions
Defining a Logarithmic Function
Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 11.3 - 12
13.
11.3 Logarithmic Functions
Graphing a Logarithmic Function
Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 11.3 - 13
14.
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
15.
11.3 Logarithmic Functions
Solving an Application Problem with Logarithms
Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 11.3 - 15
16.
11.3 Logarithmic Functions
Solving an Application Problem with Logarithms
Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 11.3 - 16
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