Question

resolva a equação exponencial

Answer 1

.
$-5^{x-1}-5^x+5^{x+2}=119 \\ \\ -5^x.5^{-1}-5^x+5^x.5^2=119 \\ \\ 5^x~~~em~~~evid\hat encia \\ \\ 5^x(-5^{-1}-1+5^2)=119 \\ \\ 5^x(- \frac{1}{5} -1+25)=119 \\ \\ 5^x( \frac{-1-5+125}{5} )=119 \\ \\ 5^x( \frac{119}{5} )=119 \\ \\ 5^x=119\div \frac{119}{5} \\ \\ 5^x=\not119\times \frac{5}{\not119} \\ \\\not 5^x=\not5^1 \\ \\ x=1 \\ S=\{1\}$