Answer
$\frac{19}{15}$
Work Step by Step
$log_4(x+3)-log_4(x-1)=2$,
$log_4(\frac{x+3}{x-1})=2$,
$\frac{x+3}{x-1}=4^2=16$,
$x+3=16x-16$,
$15x=19$,
$x=\frac{19}{15}$
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