2x-y≤0,x-3y+5≥0,解得3y-5≤x≤y/2y/2≥3y-5,解得y≤2,又y>0,因此0z=log2(x)+log2(y)+1=log2(xy) +1≤log2[(y/2)y]+1=log2(y²/2)+1=2log2(y) -1+1=2log2(y)≤2log2(2)=2选D。