Log(2)(x²/4)=log(2)x²-log(2)4=2log(2)x-2
log(0,5)(0,5x)=log(0,5)0,5+log(0,5)x=1+log(0,5)x=1-log(2)x
log(3)(x/2)/log(3)2=log(2)(x/2)=log(2)x-log(2)2=log(2)x-1
получаем
2(log(2)x-1)*(1-log(2)x)≤log(2)x-1
-2(log(2)x-1)²-(log(2)x-1)≤0
(log(2)x-1)³≥0
{x>0
{log(2)x-1≥0⇒log(2)x≥1⇒x≥2
x∈[2;∞)