Solve the equation and express the solution in exact form lo

Solve the equation and express the solution in exact form.

log (2 + x) - log (x - 3) = log 2

Select one:

log (2 + x) - log (x - 3) = log 2

==> log [(2+x)/(x-3)] = log 2 since log a - log b = log (a/b)

Apply anti log on both sides

==> (2+x)/(x-3) = 2

==> 2+x = 2(x -3)

==> 2+x = 2x -6

==> 2x -x = 6 +2

==> x = 8