Consider the equation $3^{y} = 9^{x}$
It follows that $3^{y} = 3^{2x}$
But $3^{2x} \equiv (3^{x})^{2} \equiv (3^{2})^{x}$ (I think? Since e.g. $(x^{2})^{3} \equiv x^{2 \cdot 3} \equiv (x^{3})^{2}$ right?)
So which of the following is correct? $y = 2x$ or $y = x^2$ or $y = 2^x$?
Thanks!