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: 69

Answer

$d \approx 0.667$

Work Step by Step

$3(d+4) - 14 = 0$ $3d + 12 - 14 = 0$ $3d - 2 = 0$ $3d = 2$ $d = \frac{2}{3}$ $d \approx 0.667$ Check: $3(d+4) - 14 \overset{?}{=} 0$ $3((\frac{2}{3})+4) - 14 \overset{?}{=} 0$ $3(\frac{14}{3}) - 14 \overset{?}{=} 0$ $14 - 14 \overset{?}{=} 0$ $0 = 0$
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