Answer
$$x=4$$
Work Step by Step
According to the definition of the logarithm, we have$$\log_3(x+5)=2 \quad \Rightarrow \quad x+5=3^2=9 \quad \Rightarrow \quad x=4.$$We can see that $x=4$ satisfies the original equation:$$\log_3(4+5)=\log_39=2$$
Precalculus (6th Edition) Blitzer
by Blitzer, Robert F.
Published by
Pearson
ISBN 10:
0-13446-914-3
ISBN 13:
978-0-13446-914-0
Chapter 4 - Section 4.1 - Angles and Radian Measure - Exercise Set - Page 534: 124
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