Answer
$x=\dfrac{e^4}{5}$
Work Step by Step
Recall:
$$\ln{a}=y \longrightarrow e^y=a$$
Use the definition above to obtain:
\begin{align*}
\ln{5x}&=4\\
e^4&=5x\\
\end{align*}
Divide both sides by $5$ to obtain:
$$\dfrac{e^4}{5}=x$$
Algebra 2 Common Core
by Hall, Prentice
Published by
Prentice Hall
ISBN 10:
0133186024
ISBN 13:
978-0-13318-602-4
Chapter 7 - Exponential and Logarithmic Functions - 7-6 Natural Logarithms - Lesson Check - Page 480: 5
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