Copyright © 2011 Pearson, Inc. 3.3 Logarithmic Functions and Their Graphs.

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Copyright © 2011 Pearson, Inc. 3.3 Logarithmic Functions and Their Graphs

Copyright © 2011 Pearson, Inc. Slide What you’ll learn about Inverses of Exponential Functions Common Logarithms – Base 10 Natural Logarithms – Base e Graphs of Logarithmic Functions Measuring Sound Using Decibels … and why Logarithmic functions are used in many applications, including the measurement of the relative intensity of sounds.

Copyright © 2011 Pearson, Inc. Slide Changing Between Logarithmic and Exponential Form

Copyright © 2011 Pearson, Inc. Slide Inverses of Exponential Functions

Copyright © 2011 Pearson, Inc. Slide Basic Properties of Logarithms

Copyright © 2011 Pearson, Inc. Slide An Exponential Function and Its Inverse

Copyright © 2011 Pearson, Inc. Slide Common Logarithm – Base 10 Logarithms with base 10 are called common logarithms. The common logarithm log 10 x = log x. The common logarithm is the inverse of the exponential function y = 10 x.

Copyright © 2011 Pearson, Inc. Slide Basic Properties of Common Logarithms

Copyright © 2011 Pearson, Inc. Slide Example Solving Simple Logarithmic Equations

Copyright © 2011 Pearson, Inc. Slide Example Solving Simple Logarithmic Equations

Copyright © 2011 Pearson, Inc. Slide Basic Properties of Natural Logarithms

Copyright © 2011 Pearson, Inc. Slide Graphs of the Common and Natural Logarithm

Copyright © 2011 Pearson, Inc. Slide Example Transforming Logarithmic Graphs

Copyright © 2011 Pearson, Inc. Slide Example Transforming Logarithmic Graphs

Copyright © 2011 Pearson, Inc. Slide Example Transforming Logarithmic Graphs

Copyright © 2011 Pearson, Inc. Slide Example Transforming Logarithmic Graphs

Copyright © 2011 Pearson, Inc. Slide Decibels

Copyright © 2011 Pearson, Inc. Slide Quick Review

Copyright © 2011 Pearson, Inc. Slide Quick Review Solutions

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