I was hoping that someone could check my answers/working for the following questions.
Find the order of 2 & 3 in . Which one's the primitive root?
(I don't know the latex to show all my working so I wont show all of it.)
has order and is therefore a primitive root.
3 has order 3 and isn't a primitive root.
Question 2) Using the primitive root, solve .
Since 2 is a primitive root, is some power of
Now, letting , then
Then since 2 has order ,
Multiplying both sides by 4 gives
which we substitute back to get
Is this correct? Any help would be greatly appreciated.