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: 65

Answer

$\log _{2}\left( \left( 3x-2\right) ^{4}x\right) $

Work Step by Step

We use the rules of logarithms to obtain: $8\log _{2}\sqrt {3x-2}-\log _{2}\left( \dfrac {4}{x}\right) +\log _{2}4=\log _{2}\dfrac {\left( \sqrt {3x-2}\right) ^{8}\times 4}{\dfrac {4}{x}}=\log _{2}\left( \left( 3x-2\right) ^{4}x\right) $
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