8.
1) ОДЗ: x-1>0
x>1
2) log₁/₂ (x-1)>1
x-1< 1/2
x< 0.5+1
x<1.5<br>
3) log₁/₂(x-1)<2<br> x-1 > (1/2)²
x-1 > 1/4
x> 0.25+1
x>1.25
{x>1
{x>1.25
{x<1.5<br> \\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\
------- 1 -------- 1.25 -------- 1.5 -------------
\\\\\\\\\\\\\\\\\\\
x∈(1.25; 1.5)
Ответ: С)