Intermediate Algebra: Connecting Concepts through Application

Published by Brooks Cole
ISBN 10: 0-53449-636-9
ISBN 13: 978-0-53449-636-4

Chapter 6 - Logarithmic Functions - 6.6 Solving Logarithmic Equations - 6.6 Exercises: 70

Answer

$t = -4$

Work Step by Step

$(\frac{1}{3})^{t} = 81$ $(3^{-1})^{t} = 81$ $3^{-t} = 81$ $3^{-t} = 3^{4}$ $-t = 4$ $t = -4$ Check: $(\frac{1}{3})^{t} \overset{?}{=} 81$ $(\frac{1}{3})^{-4} \overset{?}{=} 81$ $(3^{-1})^{-4} \overset{?}{=} 81$ $(3)^{4} \overset{?}{=} 81$ $81 = 81$
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