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7. Find E Z101 such that 8 2 (mod 101). In your solution you will likely need to use the FLT and will have to

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7. Find E Z101 such that 8 2 (mod 101). In your solution you will likely need to use the FLT and will have to compute the inverse of 3 modulo 100, Do you see an equally simple way to find x Z101 such that 8r-5 (mod 101)? If not, why not? (Hint: This is related to the discrete logarithm problem.)

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