MOND, dark matter, and conservation of energy

The MOND equation $m\vec{a}\mu (a)=\vec{F}$ could be transformed to the equivalent form $m\vec{a}=\overrightarrow{F^{\mathrm{\prime }}}$, where $\text{Vec}{F}^{\mathrm{\prime }}$ is a transformed force. Using this transformation we argue that MOND could not avoid introducing dark matter, and introduces nonconservative terms to the equations of motion.