#### 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 $4^{2}=4\times4=16$.

Published by
Pearson

ISBN 10:
0321785045

ISBN 13:
978-0-32178-504-6

$x=2$

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