find n
please solve as fast as possible

Answer:
n=2
Step-by-step explanation:
you can rewrite the formula as:
[tex]\frac{25^n}{25} + 100 = \frac15 25^n[/tex]
=>
[tex]25^n + 2500 = 5 \cdot25^n[/tex]
=>
[tex]2500 = 5 \cdot25^n - 25^n[/tex]
=>
[tex]2500 = 25^n(5-1)[/tex]
=>
625 = 25ⁿ
=>
n=2