College Algebra (10th Edition)

Published by Pearson
ISBN 10: 0321979478
ISBN 13: 978-0-32197-947-6

Chapter 6 - Section 6.5 - Properties of Logarithms - 6.5 Assess Your Understanding: 48

Answer

$\ln x+\dfrac {\ln \left( 1+x^{2}\right) }{2}$

Work Step by Step

We use the rules of logarithms to obtain: $\ln x\sqrt {1+x^{2}}=\ln x+\ln \sqrt {1+x^{2}}=\ln x+\ln \left( 1+x^{2}\right) ^{\frac {1}{2}}=\ln x+\dfrac {\ln \left( 1+x^{2}\right) }{2}$
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