Question

5^n+3/25^2n-3=1

Answer 1

the way you typed it:

5^n+3/25^2n-3=1
5^n+(3/625)n-3=1
5^n + (3/625)n - 4 = 0

very messy to solve:
even Wolfram had difficulties:
https://www.wolframalpha.com/input/?i=solve+5%5En+%2B+(3%2F625)n+%3D+4

did you mean ...
5^n+3/25^(2n) - 3=1 ?
or
5^n+3/25^(2n-3) = 1 ??
or
....

clearly this needs brackets