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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- April 15th 2012, 09:22 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 - April 17th 2012, 04:21 AMlsr314Re: primitive roots
x≡39,73,101,107(mod 110)

- April 17th 2012, 04:33 AMalexandrabel90Re: primitive roots
how did you form the equation for mod 110?