Given 2 as a primitive root of 29 construct a table of discr

Given 2 as a primitive root of 29, construct a table of discrete logarithms, and use it to solve the following congruences.

a.17x²= 10 (mod 29)

b. x²- 4x- 16 =0 (mod 29)

c. x⁷= 17 (mod 29)

Solution

Solution:-

a. x = 2, 27 (mod 29)

b. x = 9, 24 (mod 29)

c. x = 8, 10, 12, 15, 18, 26, 27 (mod 29)