Question

5 la puterea n+2 + 5 la puterea n+1- 15 la puterea n : 3 la puterea n= 29×25 la puterea 13

Answer 1

5^(n+2) + 5^(n+1)- 15^n : 3^n= 29×25^13
5^(n+2) + 5^(n+1)- 5^n= 29×5^26
5^n(5^2 + 5^1- 5^0)= 29×5^26
5^n(25 + 5-1)= 29×5^26
5^n  ×29= 29×5^26 
5^n = 5^26 
n=26