Log2 8/x - 10(log2 16x)>0

$log_{2} frac{8}{x} -10 log_{2} (16x) textgreater 0$
ОДЗ: 8/x>0
x>0
$log_{2} {8}- log_{2} {x} -10 (log_{2} 16+ log_{2} x) textgreater 0$
$3- log_{2} {x} -40-10 log_{2} x textgreater 0$
$-11 log_{2} x textgreater 37$
$log_{2} x textless - frac{37}{11}$
$log_{2} x textless log_{2} 2^{- frac{37}{11} }$
$x textless 2^{- frac{37}{11} }$
Ответ: (0; $2^{- frac{37}{11} }$ )