Precalculus (6th Edition) Blitzer

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: 8

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 $3x-1=3 \\3x=3+1 \\3x=4 \\x=\frac{4}{3}.$
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