\(H=-2log_3\sqrt{60}+6log_{3^{-1}}\dfrac{1}{\sqrt[3]{30}}+2log_{3^{-1}}\sqrt{45}\)
\(=-log_3\left(\sqrt{60}\right)^2-log_3\left(\dfrac{1}{\sqrt[3]{30}}\right)^6-log_3\left(\sqrt{45}\right)^2\)
\(=-\left(log_360+log_3\dfrac{1}{900}+log_345\right)\)
\(=-log_3\dfrac{60.45}{900}=-log_33=-1\)