Question

решите log1/2 3+x/x-1>1

Answer 1

log1/2 (3+x)/(x-1)>log1/2(1/2)
(3+x)//(x-1)<1/2
(7+x)/(x-1)<0
(-7;1)
ОДЗ
(3+x)/(x-1)>0
x<-3 U x>1
ответ (-7;-3)