Exponential and Logarithmic Equations; Further Applications

Contributed by:

Sharp Tutor Mon, Jan 17, 2022 10:08 PM UTC

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.

1. Copyright © 2010 Pearson Education, Inc. All rights reserved
Sec 11.6 - 1

2. Chapter 11
Inverse, Exponential
and
Logarithmic Functions
Copyright © 2010 Pearson Education, Inc. All rights reserved
Sec 11.6 - 2

3. 11.6
Exponential and Logarithmic
Equations; Further
Applications
Copyright © 2010 Pearson Education, Inc. All rights reserved
Sec 11.6 - 3

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 - 4

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 - 5

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 - 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 - 7

8. 11.6 Exponential and Logarithmic Equations; Further
Applications
Solving a Logarithmic Equation
Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 11.6 - 8

9. 11.6 Exponential and Logarithmic Equations; Further
Applications
Solving a Logarithmic Equation
Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 11.6 - 9

10. 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. 11.6 Exponential and Logarithmic Equations; Further
Applications
Solving a Logarithmic Equation
Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 11.6 - 11

12. 11.6 Exponential and Logarithmic Equations; Further
Applications
Solving Equations Involving Logarithms
Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 11.6 - 12

13. 11.6 Exponential and Logarithmic Equations; Further
Applications
Solving Equations Involving Logarithms
Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 11.6 - 13

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 - 14

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 - 15

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 - 16

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 - 23

24. 11.6 Exponential and Logarithmic Equations; Further
Applications
Application Involving Change-of-Base
This is not equal to log 3.
Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 11.6 - 24

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