log 2 (x+1)+log 0.25 (x-1)>log 4 (2x-1)
log 4 (x+4)/log 4 (2)+log 4 (x-1)/log 4 (1/4)>log 4 (2x-1)
log 4 (x+1)^2-log 4 (x-4)>log 4 (2x-1)
log 4 (x+1)^2/(x-1)>log 4 (2x-1)
(x+1)^2/(x-1)>(2x-1)
(x+1)^2/(2x-1)-(2x-1)>0
(x+1)^2-(2x-1)(x-1)>0
x^2+2x+1-2x^2+2x+x-1>0
-x^2+5x>0
x^2-5x