Answer
$x=-\frac{3\log 0.63}{2\log 5}\approx 0.430618$
Work Step by Step
$5^{-2x/3}=0.63$
$\log(5^{-2x/3})=\log 0.63$
$\frac{-2x}{3}\log 5=\log 0.63$
$x=-\frac{3\log 0.63}{2\log 5}\approx 0.430618$
College Algebra 7th Edition
by Stewart, James; Redlin, Lothar; Watson, Saleem
Published by
Brooks Cole
ISBN 10:
1305115546
ISBN 13:
978-1-30511-554-5
Chapter 4, Exponential and Logarithmic Functions - Chapter 4 Review - Concept Check - Page 425: 71
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