Question

Si: 5^n+1 + 5^n+2 + 5^n+3 + 5^n+4 =780
Hallar el valor de "n"

Answer 1

Respuesta:

0

Explicación paso a paso:

$5^{n+1} + 5^{n+2} + 5{^n+3} + 5^{n+4} =780$

$5^n*5^1 + 5^n*5^2 + 5^n*5^3 + 5^n*5^4 =780$

$5^n*(5^1 + 5^2 + 5^3 + 5^4) =780$

$5^n*(5 + 25 + 125 + 625) =780$

$5^n*(780) =780$

$5^n =\frac{780}{780}$

$5^n =1$

$5^n =5^0$

$n=0$