Log1/3(log2((х-1)/(х-2)))>-1

Question

Log1/3(log2((х-1)/(х-2)))>-1

Answer 1

ОДЗ
(x-1)/(x-2)>0
x=1 U x=2
x∈(-∞;1) U (2;∞)
log(2)[(x-1)/(x-2)]<3<br>(x-1)/(x-2)<8<br>(x-1)/(x-2)-8<0<br>(x-1-8x+16)/(x-2)<0<br>(15-7x)/(x-2)<0<br>x=15/7  x=2
2x∈(2;2 1/7)