Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson
ISBN 10: 0-32184-874-8
ISBN 13: 978-0-32184-874-1

Chapter 12 - Exponential Functions and Logarithmic Functions - 12.4 Properties of Logarithmic Functions - 12.4 Exercise Set: 71

Answer

$m$

Work Step by Step

Using $\log_bx^m=m\log_bx$ or the Power Rule of Logarithms, the given expression, $ \log_{e}e^{m} ,$ is equivalent to \begin{array}{l}\require{cancel} m\log_{e}e .\end{array} Since $\log_ee=1,$ the expression, $ m\log_{e}e ,$ simplifies to \begin{array}{l}\require{cancel} m(1) \\\\= m .\end{array}
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