Answer
$x=\frac{16}{5}$
Work Step by Step
We know that if $a^x=y$, then $\log_a y=x$ and vice versa.
Hence $\log_2(5x)=4$ implies $5x=2^4=16.$
Thus, dividing both sides by $5$ gives,
$\frac{5x}{5}=\frac{16}{5}
\\x=\frac{16}{5}$
Precalculus (10th Edition)
by Sullivan, Michael
Published by
Pearson
ISBN 10:
0-32197-907-9
ISBN 13:
978-0-32197-907-0
Chapter 5 - Exponential and Logarithmic Functions - 5.6 Logarithmic and Exponential Equations - 5.6 Assess Your Understanding - Page 311: 7
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