Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)

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

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.
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