College Algebra 7th Edition

Published by Brooks Cole
ISBN 10: 1305115546
ISBN 13: 978-1-30511-554-5

Chapter 4, Exponential and Logarithmic Functions - Section 4.4 - Laws of Logarithms - 4.4 Exercises: 43

Answer

$\ln x+\frac{1}{2}\ln y-\frac{1}{2}\ln z$

Work Step by Step

$\ln(x\sqrt{\frac{y}{z}})=\ln x+\ln((\frac{y}{z})^{1/2})=\ln x+\frac{1}{2}\ln(\frac{y}{z})=\ln x+\frac{1}{2}(\ln y-\ln z)=\ln x+\frac{1}{2}\ln y-\frac{1}{2}\ln z$
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