Question

3^x=1/9^x-3

Answer 1

I'll get you started
\[\Large 3^{x} = \frac{1}{9^{x-3}}\]
\[\Large 3^{x} = (9^{x-3})^{-1}\]
\[\Large 3^{x} = ((3^{2})^{x-3})^{-1}\]
\[\Large 3^{x} = 3^{-2(x-3)}\]
and I'll let you take over from here.