Answer
$x = 5, -13$
$x \ne -13$, therefore $x = 5$
Work Step by Step
$2\log_3(x+4) = \log_3 9 + 2$
$\log_3(x+4)^{2} = \log_3 3^{2} + 2$
$\log_3(x+4)^{2} = 2 + 2$
$\log_3(x+4)^{2} = 4$
$3^{4} =(x+4)^{2}$
$81 = x(x+4)+4(x+4)$
$81 = x^{2} + 8x + 16$
$x^{2} + 8x + 16 - 81 = 0$
$x^{2} + 8x - 65 = 0$
$x^{2} + 13x - 5x - 65 = 0$
$x(x + 13) - 5(x+13) = 0$
$(x -5)(x+13) = 0$
$x = 5, -13$
$x \ne -13$, therefore $x = 5$
