College Algebra (10th Edition)

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: 65

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: $2^{-x}=2^{4} \longrightarrow -x = 4 \longrightarrow x=-4$
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