Diketahui : ²Log 3 = a ³Log 5 = b Ditanya : hasil dari 60 Log 36 = ....

[tex] {}^{2} log3 = a \\ {}^{3} log5 = b \\ {}^{60} log36 \\ = \frac{{}^{3} log36}{ {}^{3} log60} \\ = \frac{ {}^{3} log( {2}^{2} \times {3}^{2} ) }{ {}^{3} log(3 \times {2}^{2} \times 5) } \\ = \frac{ {}^{3} log {2}^{2} + {}^{3} log {3}^{2} }{ {}^{3} log3 + {}^{3} log {2}^{2} + {}^{3} log5 } \\ = \frac{2. \frac{1}{ {}^{2} log3 } + 2.1}{1 + 2 .\frac{1}{ {}^{2} log3 } + {}^{3} log5 } \\ = \frac{ \frac{2}{a} + 2 }{1 + \frac{2}{a} + b} \\ = \frac{ \frac{2 + 2a}{a} }{ \frac{a + 2 + ab}{a} } \\ = \frac{2 + 2a}{a} \div \frac{a + 2 + ab}{a} \\ = \frac{2 + 2a}{2 + a + ab} [/tex]