Answer
$7$
Work Step by Step
1. $2log_5(x-3)-log_5(8)=log_52 \Longrightarrow log_5(x-3)^2=log_5(16) \Longrightarrow x-3=\pm4 \Longrightarrow x=-1,7$.
2. Check only $x=7$ fits.
Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)
by Sullivan III, Michael
Published by
Pearson
ISBN 10:
0-32193-104-1
ISBN 13:
978-0-32193-104-7
Chapter 4 - Exponential and Logarithmic Functions - Section 4.6 Logarithmic and Exponential Equations - 4.6 Assess Your Understanding - Page 337: 33
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