Question

Equação Exponencial

$25^{x+3} = 5^{7x+1}$

Answer 1

25^(x+3) =5^(7x+1)
(5^2)^(x+3) =5^(7x+1)
5^(2x+6)=5^(7x+1)

2x+6=7x+1
2x-7x=1-6
-5x=-5
x=-5/-5
x=1

prova real:


25^(1+3)=5^(7+1)
25^4=5^8
(5^2)^4 =5^8
5^8=5^8