Exercises - Index Arithmetic

1. Evaluate $\textrm{ind}_3 x$ (when $7$ is the modulus) for integers $x$ between $1$ and $6$, inclusive.

2. Solve the following congruence:   $6x^{12} \equiv 11\pmod{17}$

3. Solve the following congruence:   $7^x \equiv 6\pmod{17}$

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