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 - Page 534: 2

Answer

$x = 243$

Work Step by Step

$\log_3 x = 5$ $x = 3^{5}$ $x = 243$ Check: $\log_3 243 \overset{?}{=} 5$ $\log_3 3^{5} \overset{?}{=} 5$ $5\log_3 3\overset{?}{=} 5$ $5(1) \overset{?}{=} 5$ $5 = 5$
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