1. Solve the following equations for the unknown quantity a) 3*+ + 1 = 28 b) 73x = 21 c) log3 (x - 2) =4 2. Use mathematical induction to prove that 5" - 1 is a mutiple of 4, for every positive integer n. 3. Determine if the following propositions are logically equivalent. (p - q) V(p - r) andp - (q vr) 4. Let X= {1, 2, 3, 4). Determine, giving reasons, whether the relation, R1 = {(1, 1), (2, 2), (3, 3), (4, 4), (3,1), (1, 3) on X is i. reflexive ii. symmetric iii. transitive iv. an equivalence relation. (b) Draw the digraph of R1 O