Answer
$\frac{1}{3}$
Work Step by Step
1. $log_3(x)-2log_3(5)=log_3(x+1)-2log_3(10) \Longrightarrow log_3(\frac{x}{25})=log_3(\frac{x+1}{100}) \Longrightarrow 4x=x+1 \Longrightarrow x=\frac{1}{3}$.
2. Check only $x=\frac{1}{3}$ 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: 34
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