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

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

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

4. 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.

5. 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

6. 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.

7. 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.

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

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

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

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

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

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

14. 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

15. 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

16. 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

17. 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

18. Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 11.6 - 18 11.6 Exponential and Logarithmic Equations; Further Applications Continuous Compounding

19. Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 11.6 - 19 11.6 Exponential and Logarithmic Equations; Further Applications Continuous Compounding

20. Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 11.6 - 20 11.6 Exponential and Logarithmic Equations; Further Applications Continuous Compounding

21. 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

22. 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

23. 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

24. 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.