ОДЗ
log(0,25)x>0⇒x<1<br>(log(5)(log(0,25)x)/log(1/25)3=(log(5)(log(0,25)x):(log(5)3/log(5)(1/25))=
=(log(5)(log(0,25)x):(-log(5)3)/2=(-2log(5)(log(0,25)x)/log(5)3=
=log(3)(1/log²(0,25)x)=log(1/3)(log²(0,25)x)
(1/3)^(log(1/3)(log²(0,25)x)=log²(0,25)5
log²(0,25)x=log²(0,25)5
log(0,25)x=log(0,25)5⇒x=5 не удов усл
log(0,25)x=-log(0,25)5
log(0,25)x=log(0,25)(1/5)⇒x=1/5
Ответ x=1/5