Answer
$16$
Work Step by Step
The domain of the variable requires that $x>0$
$y = \log_a b \text{ is equivalent to } b=a^y$
Thus,
$\log_4 x = 2 \text{ is equivalent to: }$
\begin{align*}
x&=4^2\\
x&=16
\end{align*}
Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)
by Sullivan III, Michael
Published by
Pearson
ISBN 10:
0-32193-104-1
ISBN 13:
978-0-32193-104-7
Chapter 4 - Exponential and Logarithmic Functions - Section 4.6 Logarithmic and Exponential Equations - 4.6 Assess Your Understanding - Page 337: 5
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