Answer
$x=\dfrac{17}{3}$
Work Step by Step
Since $\log_b x=y$ is equivalent to $b^y=x$, then,
\begin{array}{l}
\log_4 (3x-1)=2\\\\
3x-1=4^2\\\\
3x-1=16\\\\
3x=17\\\\
x=\dfrac{17}{3}
.\end{array}
Intermediate Algebra (6th Edition)
by Martin-Gay, Elayn
Published by
Pearson
ISBN 10:
0321785045
ISBN 13:
978-0-32178-504-6
Chapter 9 - Review - Page 598: 126
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