Answer
$\frac{5}{2}ln(x)$
Work Step by Step
Use the rule that $\sqrt{(x^{a}}=x^{\frac{a}{2}}$ to rewrite the logarithm as $ln(x^{\frac{5}{2}})$. Then, use the rule that $ln(x^{n})=nln(x)$ to expand the logarithm to $\frac{5}{2}ln(x)$.
Calculus 10th Edition
by Larson, Ron; Edwards, Bruce H.
Published by
Brooks Cole
ISBN 10:
1-28505-709-0
ISBN 13:
978-1-28505-709-5
Chapter 5 - Logarithmic, Exponential, and Other Transcendental Functions - 5.1 Exercises - Page 325: 20
Update this answer!
You can help us out by revising, improving and updating this answer.
Update this answerAfter 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.
