Question

Решите неравенство log2(1-x)/(x-1)<0

Answer 1

Ответ:

$\frac{log_2(1-x)}{x-1} <0$

$\frac{log_2(1-x)}{x-1} <0$ (x∈-∞,1)

$\left \{ {{log_2(1-x)<0} \atop {x-1>0}} \right.$

$\left \{ {{log_2(1-x)>0} \atop {x-1<0}} \right.$$\left \{ {{log_2(1-x)>0} \atop {x-1=0}} \right.$

$\left \{ {{x>0} \atop {x>1}} \right.$

$\left \{ {{x<0} \atop {x<1}} \right.$

x∈(-∞,0)

x<0