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 - Page 579: 59

Answer

1.29

Work Step by Step

We are given that $log_{b}2=.43$ and that $ log_{b}3=.68$. 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, $log_{b}8= log_{b}2^{3}=3log_{b}2=3\times.43=1.29$.
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