(10%) Use the master method to give tight asymptotic bounds for the following recursive T(n)=27T(n/3)+Θ(n3/lgn)T(n) = 27T(n/3) + \Theta(n^3/\lg n)T(n)=27T(n/3)+Θ(n3/lgn). (Assume that T(n)T(n)T(n) is a constant for sufficiently small nnn.)