If f(x)=(6x3)3(5x2+9)4\displaystyle {f{{\left({x}\right)}}}={\left({6}{x}-{3}\right)}^{{{3}}}\cdot{\left({5}{x}^{{2}}+{9}\right)}^{{{4}}}, find f(x)\displaystyle {f}'{\left({x}\right)} using logarithmic differentiation.