Question

Log de x+3 sobre x-1=1 na base 3

Answer 1

Bom primeiro precisamos transformar o 1 em um logaritmo para em seguida resolver a Eq entao:

$1=1. log_{3}3= log_{3}3$

logo nossa Eq sera:

$log_{3} \frac{x+3}{x-1} = log_{3}3 -\ \textgreater \ \frac{x+3}{x-1} =3-\ \textgreater \ x+3=3(x-1)-\ \textgreater \ x+3=3x-3$$-\ \textgreater \ -2x=-6-\ \textgreater \ x=3$

Answer 2

$log(3) \frac{x+3}{x-1} = 1,\\ \\\frac{x+3}{x-1} = 3^1,\\\\ x+3 = 3(x-1),\\\\x+3 = 3x-3,\\\\2x=6,\\\\x=3.$