y=(1/3)^x是单调递减函数∴log2(x²-3x-4)<log2(2x+10)y=log2(x)是单调递增函数∴x²-3x-4<2x+10且x²-3x-4>0,2x+10>0∴-2<x<-1或4<x<7解集为(-2,-1)∪(4,7)