Question: I have only 1 hour please solve step by step and basically then I will give you +1 2) [30 pts] Use index of calculus

I have only 1 hour please solve step by step and

I have only 1 hour please solve step by step and basically then I will give you +1

2) [30 pts] Use index of calculus method to solve 2* = 31 (mod 83). Hint: 21 = 2 (mod 83), 27 = 32.5 (mod 83), 28 = 7 (mod 83), 2 = 2.7 (mod 83), 210 = 22.7 (mod 83), 211 = 23.7 (mod 83), 212 = 29 (mod 83), 213 = 2.29 (mod 83), 214 = 2.11 (mod 83), 215 = 22. 11 (mod 83), 216 = 72 (mod 83)

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