Intermediate Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-894-7
ISBN 13: 978-0-13417-894-3

Chapter 9 - Section 9.4 - Properties of Logarithms - Exercise Set: 20

Answer

$\frac{1}{7}\cdot\ln{x}$

Work Step by Step

Use the rule $\sqrt[n]{a} = a^{\frac{1}{n}}$ to obtain: $=\ln{(x^{\frac{1}{7}})}$ RECALL: The power rule for logarithms states: $\ln{(b^c)}=c \cdot \ln{b}$ Use the rule above to obtain: $=\frac{1}{7}\cdot\ln{x}$
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