Помогите решить неравенство
$log^23(x)-|log3(x)| textless 2$
Решить систему уравнений
$left { {{2^{x+3}*3^{y+2}=8} atop {x-y=2}} right.$

$log_3^2x-|log_3x| textless 2 log_3x=a a^2-|a|-2 textless 0 1)a geq 0 a^2-a-2 textless 0 (a+1)(a-2) textless 0 -1 textless a textless 2 -1 textless log_3x textless 2 left { {{log_3x textgreater -1} atop {log_3x textless 2}} right. left { {{log_3x textgreater log_3{ frac{1}{3} }} atop {log_3x textless log_39}} right. left { {{x textgreater frac{1}{3}} atop {x textless 9}} right.$
$2)a textless 0 a^2+a-2 textless 0 (a+2)(a-1) textless 0 -2 textless a textless 1 -2 textless log_3x textless 1 left { {{log_3x textgreater -2} atop {log_3x textless 1}} right. left { {{log_3x textgreater log_3{ frac{1}{9}} } atop {log_3x textless log_33}} right. left { {{x textgreater frac{1}{9}} atop {x textless 3}} right.$

Ответ: $x$ ∈ $( frac{1}{9} ;3)$ U $( frac{1}{3} ;9)$