[tex]\it (2^3\cdot3^5)^2:(2^4\cdot3^6):3^2=6^x \Rightarrow \dfrac{2^6\cdot3^{10}}{2^4\cdot3^6}:3^2=6^x \Rightarrow \\ \\ \\ \Rightarrow 2^2\cdot3^4:3^2=6^x \Rightarrow 2^2\cdot3^2=6^x \Rightarrow (2\cdot3)^2=6^x \Rightarrow 6^2=6^x \Rightarrow x=2[/tex]
