Introduction to Algorithms course

Assume have functions f, g such that f = 0(g), and that f(x), g(x) > 1 for every x. For each of the following statements, decide whether you think it is true or false and give a proof or counterexample: (a) log f(n) = 0(log g(n)). (b) 2/(n) = O(29(n)). (c) f(n) = 0(g(n))