Уравнение log 2 (x) - 2log x (2) = -1

Log(2)x -2log(x)2=-1
ОДЗ x>0 U x≠1⇒x∈(0;1) U (1;∞)
log(2)x-2/log(2)x =-1
loj(2)²x+log(2)x-2=0
log(2)x=a
a²+a-2=0
a1+a2=-1 U a1*a2=-2
a1=-2⇒log(2)x=-2⇒x=1/4
a2=1⇒log(2)x=1⇒x=2