Copyright © 2010 Pearson Education, Inc. All rights reserved Sec 11.6 - 1.
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Copyright © 2010 Pearson Education, Inc. All rights reserved Sec 11.6 - 1
Copyright © 2010 Pearson Education, Inc. All rights reserved Sec 11.6 - 2
Inverse, Exponential
and
Logarithmic Functions
Chapter 11
Copyright © 2010 Pearson Education, Inc. All rights reserved Sec 11.6 - 3
11.6
Exponential and Logarithmic
Equations; Further Applications
Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 11.6 - 4
11.6 Exponential and Logarithmic Equations; Further Applications
Objectives
1. Solve equations involving variables in the exponents.
2. Solve equations involving logarithms.
3. Solve applications of compound interest.
4. Solve applications involving base e exponential growth and decay.
5. Use the change-of-base rule.
Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 11.6 - 5
11.6 Exponential and Logarithmic Equations; Further Applications
Solving Equations Involving Variables in the Exponents
Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 11.6 - 6
11.6 Exponential and Logarithmic Equations; Further Applications
Solving an Exponential Equation
Begin by taking the logarithm to the same
base on both sides.
Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 11.6 - 7
11.6 Exponential and Logarithmic Equations; Further Applications
Solving an Exponential Equation (Base e)
Begin by taking the logarithm to the same
base on both sides.
Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 11.6 - 8
11.6 Exponential and Logarithmic Equations; Further Applications
Solving a Logarithmic Equation
Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 11.6 - 9
11.6 Exponential and Logarithmic Equations; Further Applications
Solving a Logarithmic Equation
Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 11.6 - 10
11.6 Exponential and Logarithmic Equations; Further Applications
Solving a Logarithmic Equation
Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 11.6 - 11
11.6 Exponential and Logarithmic Equations; Further Applications
Solving a Logarithmic Equation
Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 11.6 - 12
11.6 Exponential and Logarithmic Equations; Further Applications
Solving Equations Involving Logarithms
Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 11.6 - 13
11.6 Exponential and Logarithmic Equations; Further Applications
Solving Equations Involving Logarithms
Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 11.6 - 14
11.6 Exponential and Logarithmic Equations; Further Applications
Solving a Compound Interest Problem
Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 11.6 - 15
11.6 Exponential and Logarithmic Equations; Further Applications
Solving a Compound Interest Problem for t
Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 11.6 - 16
11.6 Exponential and Logarithmic Equations; Further Applications
Solving a Compound Interest Problem for t
Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 11.6 - 17
11.6 Exponential and Logarithmic Equations; Further Applications
Solving a Compound Interest Problem for t
Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 11.6 - 18
11.6 Exponential and Logarithmic Equations; Further Applications
Continuous Compounding
Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 11.6 - 19
11.6 Exponential and Logarithmic Equations; Further Applications
Continuous Compounding
Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 11.6 - 20
11.6 Exponential and Logarithmic Equations; Further Applications
Continuous Compounding
Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 11.6 - 21
11.6 Exponential and Logarithmic Equations; Further Applications
The Change-of-Base Rule
Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 11.6 - 22
11.6 Exponential and Logarithmic Equations; Further Applications
Derivation of the Change-of-Base Rule
Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 11.6 - 23
11.6 Exponential and Logarithmic Equations; Further Applications
Application Involving Change-of-Base
Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 11.6 - 24
11.6 Exponential and Logarithmic Equations; Further Applications
Application Involving Change-of-Base
This is not equal to log 3.
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