解不等式log2(x+1)+log1/4(x-1)〉log4(2x-1)

题目

解不等式log2(x+1)+log1/4(x-1)〉log4(2x-1)

答案

log2(x+1)+log1/4(x-1)〉log4(2x-1)
log4(x+1)^2-log4(x-1)〉log4(2x-1)
(x+1)^2/(x-1)>2x-1
x+1>0
x-1>0
2x-1>0
x>5