College Algebra (11th Edition)

Published by Pearson
ISBN 10: 0321671791
ISBN 13: 978-0-32167-179-0

Chapter 4 - Section 4.5 - Exponential and Logarithmic Equations - 4.5 Exercises - Page 447: 43



Work Step by Step

Changing to exponential form, the given expression, $ \log_4(x^3+37)=3 $ is equivalent to \begin{array}{l}\require{cancel} x^3+37=4^3 \\\\ x^3+37=64 \\\\ x^3=64-37 \\\\ x^3=27 \\\\ x=\sqrt[3]{27} \\\\ x=\sqrt[3]{(3)^3} \\\\ x=3 .\end{array}
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