L o g 5 10 ∗ l o g 5 75 − l o g 5 3 ∗ l o g 5 2 − l o g 5 60 {\displaystyle Log_{5}10*log_{5}75-log_{5}3*log_{5}2-log_{5}60}
![{\displaystyle {\begin{aligned}Log_{5}10*log_{5}75-log_{5}3*log_{5}2-log_{5}12\\(Log_{5}{5*2})*log_{5}(5*15)-log_{5}3*log_{5}2-log_{5}(2*6)\\(Log_{5}5+log_{5}2)(log_{5}5+log15)-log_{5}3*log_{5}2-(log_{5}2+log_{5}6)\\(1+log_{5}2)(1+log_{5}15)-log_{5}3*log_{5}2-log_{5}2-log_{5}6\\(1+log_{5}2)[1+log_{5}{5*3}]-log_{5}3*log_{5}2-log_{5}6\\(1+log_{5}2)[1+log_{5}5+log_{5}3]-log_{5}3*log_{5}2-log_{5}2-log_{5}6\\(1+log_{5}2)[1+1+log_{5}3]-log_{5}3*log_{5}2-log_{5}2-log_{5}6\\(1+log_{5}2)[2+log_{5}3]-log_{5}3*log_{5}2-log_{5}2-log_{5}6\\2+log_{5}3+2log_{5}2+log_{5}2*log_{5}3-log_{5}3*log_{5}2-log_{5}2-log_{5}6\\2+log_{5}3+log_{5}2-log_{5}6\\2+log_{5}(3*2)-log_{5}6\\=2\end{aligned}}}](https://wikimedia.org/api/rest_v1/media/math/render/svg/fbc8b2dd1b0f81092c7fead7b4254659c16abf5a)