помогите решит неравенство:
(log(2)^2x - 3log(2)x)^2 + 66log(2)x + 72 < 22 log(2)^2x

(log²(2)x-3log(2)x)²-22(log²(2)x-3log(2)x)+72<0log²(2)x-3log(2)x=aa²-22a+72<0a1+a2=22 U a1*a2=72a1=4 U a2=184<a<18{log²(2)x-3log(2)x>4  (1){log²(2)x-3log(2)x<18  (2)(1)log(2)x=nn²-3n-4>0n1+n2=3 U n1*n2=-4n1=-1 U n2=4n<-1 U n>4(2)n²-3n<18n²-3n-18<0n1+n2=3 U n1*n2=-18n1=-3 U n2=6-3<n<6-3<n<-1⇒-3<log(2)x<-1⇒1/8<x<1/24<n<6⇒4<log(2)x<6⇒16<x<64Ответ x∈(1/8;1/2) U (16;64)