Answer
$log_5(4)\approx0.861$
Work Step by Step
Step 1. Let $u=5^x$, we have $u^2-8u+16=0 \longrightarrow (u-4)^2=0 \longrightarrow u=4$
Step 2. For $5^x=4$, we have $x=log_5(4)\approx0.861$
Precalculus (10th Edition)
by Sullivan, Michael
Published by
Pearson
ISBN 10:
0-32197-907-9
ISBN 13:
978-0-32197-907-0
Chapter 5 - Exponential and Logarithmic Functions - 5.6 Logarithmic and Exponential Equations - 5.6 Assess Your Understanding - Page 312: 63
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