Intermediate Algebra: Connecting Concepts through Application

Published by Brooks Cole
ISBN 10: 0-53449-636-9
ISBN 13: 978-0-53449-636-4

Chapter 5 - Exponential Functions - 5.2 Solving Equations Using Exponent Rules - 5.2 Exercises: 81

Answer

$c \approx \pm1.24$

Work Step by Step

$96 -24c^{4} = 40$ $24(4 - c^{4}) = 40$ $4 - c^{4} = \frac{5}{3}$ $- c^{4} = - \frac{7}{3}$ $c^{4} = \frac{7}{3}$ $c = \pm(\frac{7}{3})^{\frac{1}{4}}$ by GDC / calculator $c = \pm1.2359...$ $c \approx \pm1.24$ Check: $96 - 24c^{4} \overset{?}{=} 40$ $96 - 24(\pm1.2359...)^{4} \overset{?}{=} 40$ $96 - 24(2.333...) \overset{?}{=} 40$ $96 - 56 \overset{?}{=} 40$ $40 = 40$
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