I'm stuck on (another) problem under Number Theory. There are quite a few gaps on what was covered in my class so I'm having quite a bit of trouble. Could you please help me solve the following problem?
2 is a primitive root mod 19. Using this information, find all solutions to x^12 ≡ 7 (mod 19) and x^12 ≡ 6 (mod 19)
I think I would have to make use of the powers of 2 to solve this, but I can't get any further than that.
Any help would be much appreciated!