Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)

Published by Pearson
ISBN 10: 0-32193-104-1
ISBN 13: 978-0-32193-104-7

Chapter 4 - Exponential and Logarithmic Functions - Chapter Test - Page 372: 20

Answer

$ 2+3log_2x-log_2(x+3)-log_2(x-6)$

Work Step by Step

$log_2(\frac{4x^3}{x^2-3x-18})=log_2(\frac{4x^3}{(x+3)(x-6)})=log_24+log_2x^3-log_2(x+3)-log_2(x-6)=2+3log_2x-log_2(x+3)-log_2(x-6)$
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