1. Copyright © 2010 Pearson Education, Inc. All rights reserved Sec 11.5 - 1

2. Copyright © 2010 Pearson Education, Inc. All rights reserved Sec 11.5 - 2 Inverse, Exponential and Logarithmic Functions Chapter 11

3. Copyright © 2010 Pearson Education, Inc. All rights reserved Sec 11.5 - 3 11.5 Common and Natural Logarithms

4. Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 11.5 - 4 11.5 Common and Natural Logarithms Objectives 1.Evaluate common logarithms using a calculator. 2.Use common logarithms in applications. 3.Evaluate natural logarithms using a calculator. 4.Use natural logarithms in applications.

5. Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 11.5 - 5 11.5 Common and Natural Logarithms Common Logarithms

6. Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 11.5 - 6 11.5 Common and Natural Logarithms Common Logarithms

7. Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 11.5 - 7 11.5 Common and Natural Logarithms Evaluating Common Logarithms

8. The loudness of sound in decibels is given by the formula Where I 0 is the weakest sound detected by the observer and I is the intensity of the given sound. Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 11.5 - 8 11.5 Common and Natural Logarithms Common Logarithms in Applications That is, find the value of I 0 is 51,000 times I.

9. Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 11.5 - 9 11.5 Common and Natural Logarithms Common Logarithms in Applications

10. Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 11.5 - 10 11.5 Common and Natural Logarithms Natural Logarithms and Evaluation

11. Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 11.5 - 11 11.5 Common and Natural Logarithms Natural Logarithms and Evaluation

12. Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 11.5 - 12 11.5 Common and Natural Logarithms Applications of Natural Logarithms