Answer
$x=2$
Work Step by Step
RECALL:
If $a^M=a^N$, then $M=N$.
Write 64 as a power of 4 to obtain
$4^{2x-1}=4^3.$
Use the rule above to obtain
$2x-1=3
\\2x=3+1
\\2x=4
\\x=\frac{4}{2}
\\x=2.$
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: 7
Update this answer!
You can help us out by revising, improving and updating this answer.
Update this answerAfter you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.
