Prove using the definition of Theta(log_2 (n)) or the limit test the following theorem. Theorem 4. Let d > 1 be a real number. Iog_d (n) elementof Theta(log_2(n)) Prove using the definition of Theta(n) or the limit test the following theorem. Theorem 5. Let f(n) elementof Theta(n) and let g{n) elementof Theta(n) then f(n) + g(n) elementof Theta(n). Prove using the definition of Theta(h(n)) or the limit test the following theorem. Theorem 6. Let f(n) elementof Theta(g(n)) and let g(n) elementof Theta(h(n)) then f(n) elementof Theta(h(n))