Answer
$x=\dfrac{e^6}{3}$
Work Step by Step
Recall:
$$\ln{a}=y \longleftrightarrow e^y=a$$
Use the definition above to obtain:
\begin{align*}
\ln{3x}&=6\\\\
e^6&=3x\\\\
\frac{e^6}{3}&=\frac{3x}{3}\\\\
\frac{e^6}{3}&=x
\end{align*}
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 - Practice and Problem-Solving Exercises - Page 481: 20
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