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: 40

Answer

$m = 18$

Work Step by Step

$\log_4(m-2) = 2$ $4^{2} = m-2$ $16 = m-2$ $16 + 2 = m$ $m = 18$ Check: $\log_4(18-2) \overset{?}{=} 2$ $\log_4(16) \overset{?}{=} 2$ $\log_4(4^{2}) \overset{?}{=} 2$ $2\log_4(4) \overset{?}{=} 2$ $2(1)\overset{?}{=} 2$ $2 = 2$
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