2log3(x－4)>log3(x－2)
log3(x-4)^2>log3(x－2)
因为底数是3,是增函数,则
(x-4)^2>x-2 x-4>0 x-2>0
x^2-8x+16>x-2 x>4 x>2
x^2-9x+18>0
(x-6)(x-3)>0
x>6或 x4
所以 x>6