College Algebra (10th Edition)

Published by Pearson
ISBN 10: 0321979478
ISBN 13: 978-0-32197-947-6

Chapter 6 - Section 6.4 - Logarithmic Functions - 6.4 Assess Your Understanding: 108

Answer

$x=-1$

Work Step by Step

RECALL: $\log_a{x}=y \longrightarrow a^y=x, a\gt0, a\ne1$ Use the rule above to obtain: $\log_3{(3^x)}=-1 \longrightarrow 3^{-1}=3^x$ Use the rule "$a^m=a^n\longrightarrow m=n$" to obtain: $-1 = x$
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