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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