1.) Find all the solutions of 4^(x) = 13 (mod 17) using indices.

Then, letmbe a pos. integer w/ a primitive root r. Also, letabe a pos. integer w/ gcd(a,m) = 1. Through 2.) and 3.), you'll investigate the relationship between ind_(r)a and ind_(r)a^(-1) where a^(-1) is the inverse (multiplicative) of 'a' (mod m)

2.) For each of 3 examples, specify m, r, a. Then find a^(-1), ind_r(a) and ind_(r)a^(-1).

3.) From #2, find a formula relating ind_(r)a and ind_(r)a^(-1). You don't have to prove this.