Answer
$x=8$
Work Step by Step
Write $8$ as $2^3$ to obtain:
$2^{x-5} = 2^3$
Use the rule $a^m=a^n\longrightarrow m=n$ to obtain:
$x-5=3
\\x=3+5
\\x=8$
Thus, the solution is $x=8$.
College Algebra (10th Edition)
by Sullivan, Michael
Published by
Pearson
ISBN 10:
0321979478
ISBN 13:
978-0-32197-947-6
Chapter 6 - Section 6.6 - Logarithmic and Exponential Equations - 6.6 Assess Your Understanding - Page 465: 41
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