Copyright 2010 Pearson Education Inc All rights reserved

Copyright © 2010 Pearson Education, Inc. All rights reserved Sec 11. 5 - 1

Chapter 11 Inverse, Exponential and Logarithmic Functions Copyright © 2010 Pearson Education, Inc. All rights reserved Sec 11. 5 - 2

11. 5 Common and Natural Logarithms Copyright © 2010 Pearson Education, Inc. All rights reserved Sec 11. 5 - 3

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. Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 11. 5 - 4

11. 5 Common and Natural Logarithms Common Logarithms Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 11. 5 - 5

11. 5 Common and Natural Logarithms Common Logarithms Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 11. 5 - 6

11. 5 Common and Natural Logarithms Evaluating Common Logarithms Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 11. 5 - 7

11. 5 Common and Natural Logarithms Common Logarithms in Applications 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. That is, find the value of I 0 is 51, 000 times I. Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 11. 5 - 8

11. 5 Common and Natural Logarithms Common Logarithms in Applications Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 11. 5 - 9

11. 5 Common and Natural Logarithms and Evaluation Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 11. 5 - 10

11. 5 Common and Natural Logarithms and Evaluation Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 11. 5 - 11

11. 5 Common and Natural Logarithms Applications of Natural Logarithms Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 11. 5 - 12