Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 12 - Section 12.5 - Logarithmic Functions - Exercise Set: 11

Answer

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

Work Step by Step

We know that if $b\gt0$ and $b\ne1$, then $y=log_{b}x$ is equivalent to $x=b^{y}$ (where $x\gt0$ and $y$ is a real number). Therefore, $log_{7}\sqrt 7=\frac{1}{2}$ can be written as the exponential equation $7^{\frac{1}{2}}=\sqrt 7$.
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