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: 5

Answer

$x = 16$

Work Step by Step

$\log_2 (4x) = 6$ $2^{6} = 4x$ $64 = 4x$ $x = 16$ Check: $\log_2 (4(16)) \overset{?}{=} 6$ $\log_2 (64) \overset{?}{=} 6$ $\log_2 (2^{6}) \overset{?}{=} 6$ $6 = 6$
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