Step-by-step explanation:
[tex]2 log(x) - log(x - 2) = 2 log(3) [/tex]
[tex] log(x {}^{2} ) - log(x - 2) = log(9) [/tex]
[tex] log( \frac{ {x}^{2} }{x - 2} ) = log(9) [/tex]
[tex] \frac{ {x}^{2} }{x - 2} = 9[/tex]
[tex] {x}^{2} = 9x - 18[/tex]
[tex] {x}^{2} - 9x + 18 = 0[/tex]
[tex](x - 3)(x - 6) = 0[/tex]
[tex]x = 3[/tex]
and
[tex]x = 6[/tex]
