Answer
$\{0\}$
Work Step by Step
... Apply $\log$(...) to both sides and isolate x
$\log 1.2^{x}=\log(0.5)^{-x}$
$x\log(1.2)=-x\log(0.5)$
$x\log(1.2)+x\log(0.5)=0$
$x(\log(1.2)+\log(0.5))=0$
$x=0$
The solution set is $\{0\}$
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: 53
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