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: 54

Answer

1.4

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, $log_{b}25=log_{b}5^{2}=2log_{b}5=2(.7)=1.4$.
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