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 - Page 874: 12

Answer

$11^{\frac{1}{4}}=\sqrt[4] 11$

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, $log_{11}\sqrt[4] 11=\frac{1}{4}$ can be written as the exponential equation $11^{\frac{1}{4}}=\sqrt[4] 11$.
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