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: 69

Answer

$\log _{2}\dfrac {\left( x+1\right) ^{2}}{\left( x+3\right) \left( x-1\right) }$

Work Step by Step

We use the rules of logarithms to obtain: $2\log _{2}\left( x+1\right) -\log _{2}\left( x+3\right) -\log _{2}\left( x-1\right) =\log _{2}\dfrac {\left( x+1\right) ^{2}}{\left( x+3\right) \left( x-1\right) }$
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