Mathematical Question help

so , Given an equation (N(A^N))%P=B
where value of N can vary from [1,X] and
value of X can be as high as 10^12.
All other numbers A,B,P and X as well are given and we have to find the number of Ns that satisfy the equation.

Any Idea on how to solve this?

This question?


I have answered it there.

Thanks a lot