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 535: 64

Answer

$x = - 6.667$

Work Step by Step

$5x + 12= 2x-8$ $5x - 2x = -8 - 12$ $3x = -20$ $x = -\frac{20}{3}$ $x = - 6.667$ Check: $5x + 12\overset{?}{=} 2x-8$ $5(-\frac{20}{3}) + 12\overset{?}{=} 2(-\frac{20}{3})-8$ $-\frac{100}{3} + 12\overset{?}{=} -\frac{40}{3}-8$ $-\frac{64}{3} = -\frac{64}{3}$
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