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: 84

Answer

$m = 3$

Work Step by Step

$\frac{2m^{5}+38}{16} = 32.75$ $2m^{5} + 38 = 524$ $2m^{5} = 524 - 38$ $2m^{5} = 486$ $m^{5} = 243$ $m = 243^{\frac{1}{5}}$ $m = 3$ Check: $\frac{2m^{5}+38}{16} \overset{?}{=} 32.75$ $\frac{2(3)^{5}+38}{16} \overset{?}{=} 32.75$ $\frac{2(243)+38}{16} \overset{?}{=} 32.75$ $\frac{486+38}{16} \overset{?}{=} 32.75$ $\frac{524}{16} \overset{?}{=} 32.75$ $32.75 = 32.75$
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