Answer
$t = 32768$
Work Step by Step
$\log_8 t = 5$
$8^{5} = t$
$t = 32768$
Check:
$\log_8 t \overset{?}{=} 5$
$\log_8 (32768) \overset{?}{=} 5$
$\log_8 (8^{5}) \overset{?}{=} 5$
$5\log_8 (8) \overset{?}{=} 5$
$5(1) \overset{?}{=} 5$
$5 = 5$
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 543: 47
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