Answer
$t=-5$
Work Step by Step
Take the log of both sides, and then use the power property.
$3^t=\frac{1}{243}$
$t\log3=\log\frac{1}{243}$
$t=\frac{\log\frac{1}{243}}{\log3}$
$t=-5$
Intermediate Algebra: Connecting Concepts through Application
by Clark, Mark; Anfinson, Cynthia
Published by
Brooks Cole
ISBN 10:
0-53449-636-9
ISBN 13:
978-0-53449-636-4
Chapter 6 - Logarithmic Functions - Chapter Review Exercises - Page 542: 36
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