Intermediate Algebra (6th Edition)

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

Chapter 9 - Review: 51



Work Step by Step

If $b\gt0$ and $b\ne1$, then $y=log_{b}x$ means $x=b^{y}$ for every $x\gt0$ and every real number $y$. Therefore, $log_{4}x=-3$ means $4^{-3}=x$. We know that $x=\frac{1}{64}$, because $4^{-3}=\frac{1}{4^{3}}=\frac{1}{64}$.
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