(a) x5 = 23 (mod 71). Solve the following congruences. (b) x3 33 (mod 61). (c)...

 

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(a) x5 = 23 (mod 71). Solve the following congruences. (b) x3 33 (mod 61). (c) x = 11 (mod 89). (d) x8 = 37 (mod 73). (Hint:) Note that [7], [2], [3], [5] is a primitive element modulo 71, 61, 89, 73 respectively. (a) x5 = 23 (mod 71). Solve the following congruences. (b) x3 33 (mod 61). (c) x = 11 (mod 89). (d) x8 = 37 (mod 73). (Hint:) Note that [7], [2], [3], [5] is a primitive element modulo 71, 61, 89, 73 respectively.