Algebra and Trigonometry 10th Edition

Published by Cengage Learning
ISBN 10: 9781337271172
ISBN 13: 978-1-33727-117-2

Chapter 5 - 5.3 - Properties of Logarithms - 5.3 Exercises - Page 386: 73


$\ln\sqrt {\frac{(x+3)^2x}{x^2-1}}$

Work Step by Step

$\frac{1}{2}[2\ln(x+3)+\ln x-\ln(x^2-1)]=\frac{1}{2}[\ln(x+3)^2+\ln x-\ln(x^2-1)]=\frac{1}{2}(\ln\frac{(x+3)^2x}{x^2-1})=\ln[\frac{(x+3)^2x}{x^2-1}]^{\frac{1}{2}}=\ln\sqrt {\frac{(x+3)^2x}{x^2-1}}$
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