Answer
$x=\frac{4}{3}$
Work Step by Step
RECALL:
If $a^M=a^N$, then $M=N$.
Write 125 as a power of 5 to obtain
$5^{3x-1}=5^3.$
Use the rule above to obtain
$3x-1=3
\\3x=3+1
\\3x=4
\\x=\frac{4}{3}.$
Precalculus (6th Edition) Blitzer
by Blitzer, Robert F.
Published by
Pearson
ISBN 10:
0-13446-914-3
ISBN 13:
978-0-13446-914-0
Chapter 3 - Section 3.4 - Exponential and Logarithmic Equations - Exercise Set - Page 488: 8
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