## Intermediate Algebra (6th Edition)

Published by Pearson

# Chapter 9 - Sections 9.1-9.6 - Integrated Review - Functions and Properties of Logarithms: 24

#### Answer

$x=2$

#### 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, $log_{4}16=x$ is equivalent to $4^{x}=16$. We know that $x=2$, because $4^{2}=4\times4=16$.

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