Answer
$$y=e^{x/2}$$
Work Step by Step
$$\ln(10\ln y)=\ln5x$$
We can take out the natural logarithm on both sides.
$$10\ln y=5x$$ $$\ln y=\frac{1}{2}x$$
If $\ln_ab=i$, then $b=a^i$ according to definition. Therefore, $$y=e^{x/2}$$
University Calculus: Early Transcendentals (3rd Edition)
by Hass, Joel R.; Weir, Maurice D.; Thomas Jr., George B.
Published by
Pearson
ISBN 10:
0321999584
ISBN 13:
978-0-32199-958-0
Chapter 7 - Practice Exercises - Page 420: 18
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