2. [2 pts] Consider a = log 36. Can a be a rational number? Explain your answer. 3. [2 pts] Let a, m, n E N. Determine if the following statements are true or false, by either proving it or providing a counter-example. (a) If a = 1 mod m and a = 1 mod n, then a = 1 mod mn. (b) If a = 1 mod m and a = 1 mod n, moreover ged(m, n) = 1, then a=1 mod mn