Answer
$\frac{7}{2}$
Work Step by Step
Use quotient rule, we have $log_3(\frac{x+1}{x-3})=2\longrightarrow \frac{x+1}{x-3}=3^2=9\longrightarrow x+1=9x-27\longrightarrow 8x=28$, thus $x=\frac{7}{2}$
Precalculus (6th Edition)
by Lial, Margaret L.; Hornsby, John; Schneider, David I.; Daniels, Callie
Published by
Pearson
ISBN 10:
013421742X
ISBN 13:
978-0-13421-742-0
Chapter 4 - Inverse, Exponential, and Logarithmic Functions - Test - Page 496: 21
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