Answer
$x=-4$
Work Step by Step
Note that $16=2^4$. Thus, the given equation is equivalent to:
$2^{-x} = 2^4$
Use the rule $a^m=a^n \longrightarrow m = n$ to obtain:
$2^{-x}=2^{4} \longrightarrow -x = 4 \longrightarrow x=-4$
College Algebra (10th Edition)
by Sullivan, Michael
Published by
Pearson
ISBN 10:
0321979478
ISBN 13:
978-0-32197-947-6
Chapter 6 - Section 6.3 - Exponential Functions - 6.3 Assess Your Understanding - Page 436: 65
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