\[\frac{\left( 3^{x} \right)^{3} \cdot 3^{5}}{3^{2}} = 27²\]
\[\frac{3^{3x} \cdot 3^{5}}{3^{2}} = \left( 3^{3} \right)^{2}\]
\[3^{3x} \cdot 3^{3} = 3^{6}\]
\[3^{3x} = 3^{3}\]
\[3x = 3\]
\[x = 1.\ \]