Question

Log (x+6) = 2
x
O x na base me ajuda aí

Answer 1

Oie, Td Bom?!

$log_{x}(x + 6) = 2$

$x + 6 = x {}^{2}$

$x + 6 - x {}^{2} = 0$

$- x {}^{2} + x + 6 = 0$

$x {}^{2} - x - 6 = 0$

$x {}^{2} + 2x - 3x - 6 = 0$

$x \: . \: (x + 2) - 3(x + 2) = 0$

$(x + 2) \: . \: (x - 3) = 0$

• $x + 2 = 0⇒x = - 2$

• $x - 3 = 0⇒x = 3$

$S = \left \{3 \right \}$

Att. Makaveli1996