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Presentation transcript:

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

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

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

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

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

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

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 Common and Natural Logarithms Common Logarithms in Applications That is, find the value of I 0 is 51,000 times I.

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

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

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

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