nilai dari 5 log 1/16 . 4 log√3 . 3 log 25 adalah

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


[tex] {}^{5} log( \frac{1}{16} ) \times {}^{4} log( \sqrt{3} ) \times {}^{3} log(25) \\ = {}^{5} log(2 {}^{ - 4} ) . {}^{2 {}^{2} } log(3 {}^{ \frac{1}{2} } ) . {}^{3} log(5 {}^{2} ) \\ = - 4. {}^{5} log(2) \times \frac{1}{4} \times {}^{2} log(3) \times 2. {}^{3} log(5) \\ = - {}^{5} log(2 ) . {}^{2} log(3) \times 2. {}^{3} log(5) \\ = - \frac{ {}^{3} log(2) }{ {}^{3} log(5) } \times {}^{2} log(3) \times 2. {}^{3} log(5) \\ = - {}^{3} log(2) . {}^{2} log(3) \times 2 \\ = - 1 \times 2 \\ = - 2[/tex]