## University Calculus: Early Transcendentals (3rd Edition)

Published by Pearson

# Chapter 7 - Practice Exercises - Page 420: 18

#### 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, $$y=e^{x/2}$$

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