Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 9 - Section 9.6 - Properties of Logarithms - Exercise Set: 54

Answer

1.4

Work Step by Step

We are given that $log_{b}3=.5$ and that $ log_{b}5=.7$. The power property of logarithms tells us that $log_{b}x^{r}=r log_{b}x$ (where x and b are positive real numbers, $b\ne1$, and r is a real number). Therefore, $log_{b}25= log_{b}5^{2}=2log_{b}5=2\times.7=1.4$.
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