Question

5^x+1 +5^x-1= 26
Equação exponencial

Answer 1

Resposta:

Explicação passo-a-passo:

$\displaystyle 5^{x+1}+5^{x-1}=26\\\\5^x.5^1+5^x.5^{-1}=26\\5^x(5+5^{-1})=26\\5^x(5+\frac{1}{5} )=26\\\\5^x(\frac{25+1}{5} )=26\\\\5^x(\frac{26}{5} )=26\\\\26.5^x=26.5\\5^x=5\\5^x=5^1\\x=1$