Question

log2/2(x)-3log2(x)<=4

Answer 1

$log_{2}^2x-3log_{2}x leq 4$
Сделаем замену: $log_{2}x = t$
$t^2 - 3t - 4 leq 0$
$D = 9 + 16 = 25, sqrt{D} =5$
$t_1 = -1, t_2 = 4$
$-1 leq log_{2}x leq 4$
$0.5 leq x leq 16$

Answer 2

Огромное спасибо.