Решите неравенство. (Log 0,5 x)^2 - 3log 0,5 x - 4 <= 0

(Log (0.5, x))^2 - 3log( 0.5, x )- 4 <= 0D=9+16=251) log(0.5,x)=(3+5)/2=42) log(0.5,x)=(3-5)/2=-1(log(0.5,x)-4)(log(0.5,x)+1)<=0(x-(0.5)^4)(x-(0.5)^(-1))<=0(x-0.0625)(x-2)<=0ОТВЕТ : x∈[0.0625;2]

(log(0,5)x)²-3log(0,50x-4≤0ОДЗx>0x∈(0;∞)log(0,5)x=tt²-3t-4≤0t1+t2=3 U t1*t2=-4t1=-1 U 2=4  +                _                  +--------[-1]------------[4]---------------1≤t≤4-1≤log(0,5)≤40,0625≤x≤2x∈[0,0625;2]