Решите неравенство :

ОДз x>0(log²(2)x-2log(2)x)²-18(log(2)x-2log(2)x)+45<0log²(2)x-2log(2)x=aa²-18a+45<0a1+a2=18 U a1*a2=45a1=3 U a2=153<a<15{log²(2)x-log(2)x>3  (1){log²(2)x-2log(2)x<15  (2)1)log(2)x=mm²-2m-3>0m1+m2=2 U m1*m2=-3m1=-1 U m2=3m<-1⇒log(2)x<-1⇒x<0,5m>3⇒log(2)x>3⇒x>82)log(2)x=mlm²-2m-15<0m3+m4=2 U m3*m4=-15m3=-3 U m4=5-3<m<5⇒-3<log(2)x<5⇒0,125<x<32x∈[0,125;0,5] U [8;32]