ini gimana yaa? soal UN tentang logaritma

Mata Pelajaran : Matematika Peminatan
Kelas : 10
Bab : 02 - Fungsi Logaritma


[tex] \frac{ {}^{6} log(27) \times {}^{ \sqrt{3} } log(36) - {}^{4} log( \frac{1}{64} ) }{ {}^{6} log(36) - {}^{6} log(6 \sqrt{6 } ) } \\ = \frac{ {}^{6} log(27) \times {}^{ \sqrt{3} } log(36) - {}^{2 {}^{2} } log(2 {}^{ - 6} ) }{ { }^{6} log(6 {}^{2} ) - {}^{6} log(6 {}^{ \frac{3}{2} } ) } \\ = \frac{ {}^{6} log(27) \times {}^{ \sqrt{3} } log(36) - \frac{ - 6}{2} }{2 - \frac{3}{2} } \\ = \frac{ {}^{6} log(27) \times {}^{ \sqrt{3} } log(36) + 3 }{ \frac{1}{2} } \\ = ( {}^{6} log(27) \times {}^{ \sqrt{3} } log(36) + 3) \times 2 \\ = 2. {}^{6} log(27) \times { }^{ \sqrt{3} } log(36) + 6 \\ = 2. {}^{6} log(3 {}^{3} ) \times {}^{3 {}^{ \frac{1}{2} } } log(6 {}^{2} ) + 6 \\ = 2 \times 3. {}^{6} log(3) \times 4. {}^{3} log(6) + 6 \\ = 2 \times 3 \times 1 \times 4 + 6 \\ = 30 \: (a)[/tex]