folosesti formula [tex] a^{log _{a} x} [/tex] =x.
[tex]3^{log_{3} 9 - log _{3} 10 } [/tex] - [tex] 4^{log_{4}4-log_{4}5 } [/tex] + [tex] 6^{log _{6}9-log_{6}6 } [/tex]=
[tex]3 ^{log_{3} \frac{9}{10} } -4^{log_{4} \frac{4}{5} } - 6^{log_{6} \frac{9}{6} } =[/tex]
[tex] \frac{9}{10} - \frac{4}{5} + \frac{9}{6} = [/tex]
[tex] \frac{48}{30} = \frac{24}{15}= \frac{8}{5} [/tex]