[tex] \mathtt{3^{2-log_310}-4^{1-log_45}+6^{log_{6}9-1}=} \\ \\ \mathtt{3^{log_39-log_310}-4^{log_44-log_45}+6^{log_69-log_66}=}\\ \\ \mathtt{=3^{log_3 \frac{9}{10} }-4^{log_4 \frac{4}{5} }+6^{log_6 \frac{9}{6} }= \frac{9}{10}- \frac{4}{5}+ \frac{9}{6}= \frac{27-24+45}{30} = \frac{48}{30}= \mathbf{ \frac{8}{5}} } [/tex]
