Answer
$x=\frac{5}{2}$
Work Step by Step
$8^{x-2}=\sqrt {8}$
$\implies 8^{x-2}=8^{\frac{1}{2}}$
Equating the exponents, we get
$x-2=\frac{1}{2}$
Adding $2$ to both sides of the equation, we have
$x=\frac{1}{2}+2=\frac{5}{2}$
Big Ideas Math - Algebra 1, A Common Core Curriculum
by Larson, Ron; Boswell, Laurie
Published by
Big Ideas Learning LLC
ISBN 10:
978-1-60840-838-2
ISBN 13:
978-1-60840-838-2
Chapter 6 - Exponential Functions and Sequences - 6.5 - Solving Exponential Equations - Exercises - Page 330: 53
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