Answer
$x=\frac{ln{10}}{3}$.
Work Step by Step
If $e^{3x}=10$, then by taking the natural logarithm of both sides we get $3x=ln{10}$, therefore $x=\frac{ln{10}}{3}$.
Precalculus (10th Edition)
by Sullivan, Michael
Published by
Pearson
ISBN 10:
0-32197-907-9
ISBN 13:
978-0-32197-907-0
Chapter 5 - Exponential and Logarithmic Functions - 5.4 Logarithmic Functions - 5.4 Assess Your Understanding - Page 296: 101
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