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 - Page 459: 49

Answer

$3\log _{2}x-\log _{2}\left( x-3\right) $

Work Step by Step

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