Thinking Mathematically (6th Edition)

Published by Pearson
ISBN 10: 0321867327
ISBN 13: 978-0-32186-732-2

Chapter 7 - Algebra: Graphs, Functions, and Linear Systems - 7.6 Modeling Data: Exponential, Logarithmic, and Quadratic Functions - Exercise Set 7.6 - Page 474: 8

Answer

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Work Step by Step

The exponential form of the logarithmic function, \[y={{\log }_{5}}x\], will be: \[\begin{align} & y={{\log }_{5}}x \\ & {{5}^{y}}=x \\ & x={{5}^{y}} \end{align}\] Therefore, the exponential form of the logarithmic function, \[y={{\log }_{5}}x\], is \[x={{5}^{y}}\].
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