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: 95

Answer

1. Power 2. $x \approx \pm2.2$

Work Step by Step

1. Power equation The variable is raised to the power of a number. 2. Solve $\frac{3.6h^{8}-56}{33} = 58.168$ $3.6h^{8} - 56 = 1919.544$ $3.6h^{8} = 1919.544 + 56$ $3.6h^{8} = 1975.544$ $h^{8} = 548.7622...$ $h = \pm(548.7622..)^{\frac{1}{8}}$ $h = \pm2.200...$ $h \approx \pm2.2$ Check: $= \frac{3.6(\pm2.20...)^{8}-56}{33}$ $= \frac{3.6(548.7622)-56}{33}$ $= \frac{1975.544-56}{33}$ $= \frac{1919.544-56}{33}$ $=58.168$
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