Find all x where x ^x is congruent to 2 mod 11?

I tried to use primitive roots. knowing that 2 is a primitive root and let x = 2^i.

thus ix is congruent to 2 mod 10..but am now stuck

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- Apr 15th 2012, 10:22 AMalexandrabel90primitive roots
Find all x where x ^x is congruent to 2 mod 11?

I tried to use primitive roots. knowing that 2 is a primitive root and let x = 2^i.

thus ix is congruent to 2 mod 10..but am now stuck - Apr 17th 2012, 05:21 AMlsr314Re: primitive roots
x≡39,73,101,107(mod 110)

- Apr 17th 2012, 05:33 AMalexandrabel90Re: primitive roots
how did you form the equation for mod 110?