Inverse, Exponential and Logarithmic Functions

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Presentation transcript:

Inverse, Exponential and Logarithmic Functions Chapter 11 Inverse, Exponential and Logarithmic Functions

Common and Natural Logarithms 11.5 Common and Natural Logarithms

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

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

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

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

11.5 Common and Natural Logarithms Common Logarithms in Applications The loudness of sound in decibels is given by the formula Where I0 is the weakest sound detected by the observer and I is the intensity of the given sound. That is, find the value of I0 is 51,000 times I. Copyright © 2010 Pearson Education, Inc. All rights reserved.

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

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

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

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