Answer
$x=2$
Work Step by Step
The given expression is
$\Rightarrow 3^{x-2}=1$
Use $1=3^0$.
$\Rightarrow 3^{x-2}=3^0$
Equate the exponents.
$\Rightarrow x-2=0$
Add $2$ to each side.
$\Rightarrow x-2+2=0+2$
Simplify.
$\Rightarrow x=2$.
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 - Chapter Review - Page 349: 21
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