Question: Show that 2 is a primitive root modulo 13 and draw up a table of indices to this base. Hence, or otherwise, find all solutions

Show that 2 is a primitive root modulo 13 and draw up a table of indices to this base. Hence, or otherwise, find all solutions to the following congruences.

(i) x 16 3 (mod 13),

(ii) x 21 3 (mod 13),

(iii) x 31 7 (mod 13).

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