Intermediate Algebra for College Students (7th Edition)

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

Chapter 11 - Cumulative Review Exercises - Page 872: 22


The answer is $\log \left (\frac{x^5}{ \sqrt y} \right) $.

Work Step by Step

The given expression is $5\log x- \frac{1}{2} \log y$ Convert the expression using the property $a\log b = \log b^a$. $=\log x^5- \log y^{\frac{1}{2}}$ Now use the property $\log a - \log b =\log \left (\frac{a}{ b} \right) $. $\log \left (\frac{x^5}{ y^{\frac{1}{2}}} \right)$ We can write. $\log \left (\frac{x^5}{ \sqrt y} \right) $.
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