Algebra: A Combined Approach (4th Edition)

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

Chapter 12 - Section 12.6 - Properties of Logarithms - Exercise Set: 58

Answer

.125

Work Step by Step

We are given $log_{b}3=.5$ and $log_{b}5=.7$. We know that $log_{b}x^{r}=rlog_{b}x$ (where $x$ and $b$ are positive real numbers, $b\ne1$, and $r$ is a real number). Therefore, $log_{b}\sqrt[4] 3=log_{b}3^{\frac{1}{4}}=\frac{1}{4}log_{b}3=\frac{1}{4}\times.5=.125$.
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