jika log5 3=m dan log3 4=n maka log 12 75

maksudnya gini?
[tex]\begin{array}{rcl}^5\log3&=&m\\^3\log4&=&n\\^5\log{3}\times ^3\log{4}&=&mn\\^5\log4&=&mn\end{array}\\\\\begin{array}{rcl}^{12}\log{75}&=&^{12}\log{25}+^{12}\log{3}\\&=&^{12}\log{5^2}+\frac{1}{^3\log{12}}\\&=&\frac{2}{^5\log{12}}+\frac{1}{^3\log3+^3\log4}\\&=&\frac{2}{^5\log4+^5\log3}+\frac{1}{1+n}\\&=&\frac{2}{mn+m}+\frac{1}{1+n}\\&=&\frac{2}{m}\frac{1}{1+n}+\frac{1}{n}\\&=&\frac{1}{n}\left(\frac{2}{m}+1\right)\\&=&\frac{2+m}{mn}\end{array}[/tex]