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: 78

Answer

$m \approx 1.9$

Work Step by Step

$4m^{7} + 20 = 380$ $4m^{7} = 380 - 20$ $4m^{7} = 360$ $m^{7} = 90$ $m = 90^{\frac{1}{7}}$ $m = 1.901...$ $m \approx 1.9$ Check: $4m^{7} + 20 \overset{?}{=} 380$ $4(1.9...)^{7} + 20 \overset{?}{=} 380$ $4(89.99...) + 20 \overset{?}{=} 380$ $(359.99....) + 20 \overset{?}{=} 380$ $379.99... \overset{?}{=} 380$ $379.99... \approx 380$
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.