ОДЗ x>0
(log²(2)x-2log(2)x)²+36log(2)x+45-18log²(2)x<0<br>(log²(2)x-2log(2)x)²-18(log²(2)x-2log(2)x)+45<0<br>log²(2)x-2log(2)x=a
a²-18a+45<0<br>a1+a2=18 U a1*a2=45⇒a1=3 U a2=15
3log(2)x=b
3{b²-2b>3⇒b²-2b-3>0
{b²-2b<15⇒b²-2b-15<0<br>b1+b2=2 U b1*b2=-3⇒b1=-1 U b2=3
b<-1 U b>3
b3+b4=2 U b3*b4=-15⇒b3=-3 U b4=5
-3-3-33Ответ x∈(1/8;1/2) U (8;32)