Copyright © 2010 Pearson Education, Inc. All rights reserved Sec 11.6 - 1.
-
Upload
amelia-ward -
Category
Documents
-
view
217 -
download
0
Transcript of Copyright © 2010 Pearson Education, Inc. All rights reserved Sec 11.6 - 1.
![Page 1: Copyright © 2010 Pearson Education, Inc. All rights reserved Sec 11.6 - 1.](https://reader030.fdocuments.net/reader030/viewer/2022032612/56649e9a5503460f94b9cd40/html5/thumbnails/1.jpg)
Copyright © 2010 Pearson Education, Inc. All rights reserved Sec 11.6 - 1
![Page 2: Copyright © 2010 Pearson Education, Inc. All rights reserved Sec 11.6 - 1.](https://reader030.fdocuments.net/reader030/viewer/2022032612/56649e9a5503460f94b9cd40/html5/thumbnails/2.jpg)
Copyright © 2010 Pearson Education, Inc. All rights reserved Sec 11.6 - 2
Inverse, Exponential
and
Logarithmic Functions
Chapter 11
![Page 3: Copyright © 2010 Pearson Education, Inc. All rights reserved Sec 11.6 - 1.](https://reader030.fdocuments.net/reader030/viewer/2022032612/56649e9a5503460f94b9cd40/html5/thumbnails/3.jpg)
Copyright © 2010 Pearson Education, Inc. All rights reserved Sec 11.6 - 3
11.6
Exponential and Logarithmic
Equations; Further Applications
![Page 4: Copyright © 2010 Pearson Education, Inc. All rights reserved Sec 11.6 - 1.](https://reader030.fdocuments.net/reader030/viewer/2022032612/56649e9a5503460f94b9cd40/html5/thumbnails/4.jpg)
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.
![Page 5: Copyright © 2010 Pearson Education, Inc. All rights reserved Sec 11.6 - 1.](https://reader030.fdocuments.net/reader030/viewer/2022032612/56649e9a5503460f94b9cd40/html5/thumbnails/5.jpg)
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
![Page 6: Copyright © 2010 Pearson Education, Inc. All rights reserved Sec 11.6 - 1.](https://reader030.fdocuments.net/reader030/viewer/2022032612/56649e9a5503460f94b9cd40/html5/thumbnails/6.jpg)
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.
![Page 7: Copyright © 2010 Pearson Education, Inc. All rights reserved Sec 11.6 - 1.](https://reader030.fdocuments.net/reader030/viewer/2022032612/56649e9a5503460f94b9cd40/html5/thumbnails/7.jpg)
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.
![Page 8: Copyright © 2010 Pearson Education, Inc. All rights reserved Sec 11.6 - 1.](https://reader030.fdocuments.net/reader030/viewer/2022032612/56649e9a5503460f94b9cd40/html5/thumbnails/8.jpg)
Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 11.6 - 8
11.6 Exponential and Logarithmic Equations; Further Applications
Solving a Logarithmic Equation
![Page 9: Copyright © 2010 Pearson Education, Inc. All rights reserved Sec 11.6 - 1.](https://reader030.fdocuments.net/reader030/viewer/2022032612/56649e9a5503460f94b9cd40/html5/thumbnails/9.jpg)
Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 11.6 - 9
11.6 Exponential and Logarithmic Equations; Further Applications
Solving a Logarithmic Equation
![Page 10: Copyright © 2010 Pearson Education, Inc. All rights reserved Sec 11.6 - 1.](https://reader030.fdocuments.net/reader030/viewer/2022032612/56649e9a5503460f94b9cd40/html5/thumbnails/10.jpg)
Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 11.6 - 10
11.6 Exponential and Logarithmic Equations; Further Applications
Solving a Logarithmic Equation
![Page 11: Copyright © 2010 Pearson Education, Inc. All rights reserved Sec 11.6 - 1.](https://reader030.fdocuments.net/reader030/viewer/2022032612/56649e9a5503460f94b9cd40/html5/thumbnails/11.jpg)
Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 11.6 - 11
11.6 Exponential and Logarithmic Equations; Further Applications
Solving a Logarithmic Equation
![Page 12: Copyright © 2010 Pearson Education, Inc. All rights reserved Sec 11.6 - 1.](https://reader030.fdocuments.net/reader030/viewer/2022032612/56649e9a5503460f94b9cd40/html5/thumbnails/12.jpg)
Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 11.6 - 12
11.6 Exponential and Logarithmic Equations; Further Applications
Solving Equations Involving Logarithms
![Page 13: Copyright © 2010 Pearson Education, Inc. All rights reserved Sec 11.6 - 1.](https://reader030.fdocuments.net/reader030/viewer/2022032612/56649e9a5503460f94b9cd40/html5/thumbnails/13.jpg)
Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 11.6 - 13
11.6 Exponential and Logarithmic Equations; Further Applications
Solving Equations Involving Logarithms
![Page 14: Copyright © 2010 Pearson Education, Inc. All rights reserved Sec 11.6 - 1.](https://reader030.fdocuments.net/reader030/viewer/2022032612/56649e9a5503460f94b9cd40/html5/thumbnails/14.jpg)
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
![Page 15: Copyright © 2010 Pearson Education, Inc. All rights reserved Sec 11.6 - 1.](https://reader030.fdocuments.net/reader030/viewer/2022032612/56649e9a5503460f94b9cd40/html5/thumbnails/15.jpg)
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
![Page 16: Copyright © 2010 Pearson Education, Inc. All rights reserved Sec 11.6 - 1.](https://reader030.fdocuments.net/reader030/viewer/2022032612/56649e9a5503460f94b9cd40/html5/thumbnails/16.jpg)
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
![Page 17: Copyright © 2010 Pearson Education, Inc. All rights reserved Sec 11.6 - 1.](https://reader030.fdocuments.net/reader030/viewer/2022032612/56649e9a5503460f94b9cd40/html5/thumbnails/17.jpg)
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
![Page 18: Copyright © 2010 Pearson Education, Inc. All rights reserved Sec 11.6 - 1.](https://reader030.fdocuments.net/reader030/viewer/2022032612/56649e9a5503460f94b9cd40/html5/thumbnails/18.jpg)
Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 11.6 - 18
11.6 Exponential and Logarithmic Equations; Further Applications
Continuous Compounding
![Page 19: Copyright © 2010 Pearson Education, Inc. All rights reserved Sec 11.6 - 1.](https://reader030.fdocuments.net/reader030/viewer/2022032612/56649e9a5503460f94b9cd40/html5/thumbnails/19.jpg)
Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 11.6 - 19
11.6 Exponential and Logarithmic Equations; Further Applications
Continuous Compounding
![Page 20: Copyright © 2010 Pearson Education, Inc. All rights reserved Sec 11.6 - 1.](https://reader030.fdocuments.net/reader030/viewer/2022032612/56649e9a5503460f94b9cd40/html5/thumbnails/20.jpg)
Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 11.6 - 20
11.6 Exponential and Logarithmic Equations; Further Applications
Continuous Compounding
![Page 21: Copyright © 2010 Pearson Education, Inc. All rights reserved Sec 11.6 - 1.](https://reader030.fdocuments.net/reader030/viewer/2022032612/56649e9a5503460f94b9cd40/html5/thumbnails/21.jpg)
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
![Page 22: Copyright © 2010 Pearson Education, Inc. All rights reserved Sec 11.6 - 1.](https://reader030.fdocuments.net/reader030/viewer/2022032612/56649e9a5503460f94b9cd40/html5/thumbnails/22.jpg)
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
![Page 23: Copyright © 2010 Pearson Education, Inc. All rights reserved Sec 11.6 - 1.](https://reader030.fdocuments.net/reader030/viewer/2022032612/56649e9a5503460f94b9cd40/html5/thumbnails/23.jpg)
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
![Page 24: Copyright © 2010 Pearson Education, Inc. All rights reserved Sec 11.6 - 1.](https://reader030.fdocuments.net/reader030/viewer/2022032612/56649e9a5503460f94b9cd40/html5/thumbnails/24.jpg)
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.