Intermediate Algebra (6th Edition)

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

Chapter 9 - Review - Page 597: 55

Answer

$x=5$

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, $log_{4}4^{5}=x$ means $4^{x}=4^{5}$. We know that $x=5$, because $(4)^{5}=4^{5}$.
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