College Algebra (6th Edition)

Published by Pearson
ISBN 10: 0-32178-228-3
ISBN 13: 978-0-32178-228-1

Chapter 4 - Summary, Review, and Test - Review Exercises - Page 510: 13

Answer

$49^{\frac{1}{2}}=7$

Work Step by Step

We know that $y=log_{b}x$ is equivalent to $b^{y}=x$ (where $x\gt0$, $b\gt0$, and $b\ne1$). Therefore, $\frac{1}{2}=log_{49}7$ can be written in exponential form as $49^{\frac{1}{2}}=7$.
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