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: 83

Answer

$x = 5$

Work Step by Step

$\frac{4x^{3}+5}{8} = 63.125$ $4x^{3} + 5 = 505$ $4x^{3} = 505 - 5$ $4x^{3} = 500$ $x^{3} = 125$ $x = 125^{\frac{1}{3}}$ $x = 5$ Check: $\frac{4x^{3}+5}{8} \overset{?}{=} 63.125$ $\frac{4(5)^{3}+5}{8} \overset{?}{=} 63.125$ $\frac{4(125)+5}{8} \overset{?}{=} 63.125$ $\frac{500+5}{8} \overset{?}{=} 63.125$ $\frac{505}{8} \overset{?}{=} 63.125$ $63.125 = 63.125$
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