Question

Очень срочно нужно!!!

Answer 1

$log_2^2(x-1)-log_{0,5}^2(x-1) textgreater 2\ODZ:\x-1 textgreater 0\x textgreater 1\log_2^2(x-1)-log_{2^{-1|}}(x-1) textgreater 2 \log_2^2(x-1)+log_2(x-1) textgreater 2\log_2(x-1)=t\t^2+t textgreater 2\t^2+t-2 textgreater 0\t^2+t-2=0\a+b+c=0\t=1\t=-2$
t∈(-∞;-2)∪(1;+∞)
$left { {{lo_2(x-1) textless -2} atop {log_2(x-1) textgreater 1}} right. left { {{x textless frac{5}{4} } atop {x textgreater 3}} right.$
x∈(1;5/4)∪(3;+∞)