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 - Page 713: 57

Answer

$ \ln \left ( \frac {x^3y^5}{ z^6} \right )$.

Work Step by Step

The given expression is $= 3\ln x+5\ln y-6 \ln z$ Use power rule. $= \ln x^3+\ln y^5- \ln z^6$ Use product rule. $= \ln (x^3y^5)- \ln z^6$ Use quotient rule. $= \ln \left ( \frac {x^3y^5}{ z^6} \right )$.
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