Question

Is what i did correct?

Answer 1

X=-3/2 so yea ur doing it right but I don't think u switch the numbers

Answer 2

No, you should have reduced each base to...
3^(3*2x) = 3^(2*(x-3))
and then you can cancel each base
3*2x = 2*(x-3)
6x = 2x-6
4x= -6
x = -3/2