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 - Mid-Chapter Review - Mixed Review - Page 812: 9


$\displaystyle \frac{1}{2}$

Work Step by Step

$10^{2}=100\quad\Rightarrow\quad 10=100^{1/2}$ $\log_{100}(10)=\log_{100}(100^{1/2})\quad$... Apply the property $\log_{a}a^{k}=k$ $=\displaystyle \frac{1}{2}$
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