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: 93

Answer

1. Power equation 2. $g = 2$

Work Step by Step

1. Power equation The variable is raised to the power of a number. 2. Solve $45 - 3.5g^{5} = -67$ $-3.5g^{5} = -67 - 45$ $-3.5g^{5} = -112$ $g^{5} = 32$ $g = 32^{\frac{1}{5}}$ $ g = 2$ Check: $ 45 - 3.5(2)^{5}$ $= 45 - 3.5(32)$ $= 45 - 112$ $= -67$
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