设函数f(x)=x-1/xlog2 (x-1)-log2 x(x>1)(1)求函数f(x)的最小值(2)若m,t∈R+且
设函数f(x)=x-1/xlog2 (x-1)-log2 x(x>1)(1)求函数f(x)的最小值(2)若m,t∈R+且1/m+1/t=1,求证:tlog2 m+mlog2 t≤mt(3)若a1,a2,a3…a2的方∈R+,且1/a1+1/a2+1/a3+…+1/a2的n次方=1,求证:(log2 a1)/a1+(log2 a2)/a2+(log2 a3)/a3+…+(log2 a2的n次方/a2的n次方)≤n