2 log 25 x 1/6 log 64 x 5 log 36

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



[tex] {}^{2} log(25) \times \frac{1}{6} log(64) \times {}^{5} log(36) \\ = {}^{2} log(5 {}^{2} ) . {}^{6 {}^{ - 1} } log(2 {}^{6} ) . {}^{5} log(6 {}^{2} ) \\ = 2. {}^{2} log(5) \times ( - 6. {}^{6} log2) \times 2. {}^{5} log(6) \\ = - 2 \times \frac{ {}^{6} log(5) }{ {}^{6} log(2) } \times 6. {}^{6} log(2) \times 2. {}^{5} log(6) \\ = - 2. {}^{6} log(5) \times 6 \times 2. {}^{5} log(6) \\ = - 2 \times 1 \times 6 \times 2 \\ = - 24[/tex]