College Algebra (10th Edition)

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: 41

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 $x=8$.
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