log(1/4)x >log(1/2)(x+1)
log(1/2)² x>log(1/2)(x+1)
1/2log(1/2) x>log(1/2)(x+1)
log(1/2) √x>log(1/2)(x+1)
∵00
∴x>0
解集是{x|x>0}