Answer
$$ y =e^{x/2} $$
Work Step by Step
Given $$
\ln (10 \ln y)=\ln 5 x
$$
Then
\begin{align*}
10 \ln y &= 5 x\\
\ln y&= \frac{x}{2}\\
y&=e^{x/2}
\end{align*}
Thomas' Calculus 13th Edition
by Thomas Jr., George B.
Published by
Pearson
ISBN 10:
0-32187-896-5
ISBN 13:
978-0-32187-896-0
Chapter 7: Transcendental Functions - Practice Exercises - Page 440: 84
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