Nilai 2 log 1/9 . 3log √1/125 . 5log√8

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



[tex] {}^{2} log( \frac{1}{9} ) \times {}^{3} log( \sqrt{ \frac{1}{125} } ) \times {}^{5} log(8) \\ = {}^{2} log(3 {}^{ - 2} ) . {}^{3} log(5 {}^{ - \frac{3}{2} } ) . {}^{5} log(2 {}^{ \frac{3}{2} } ) \\ = - 2. {}^{2} log(3) \times ( - \frac{3}{2} \times {}^{3} log5) \times \frac{3}{2} \times {}^{5} log(2) \\ = {}^{2} log(3) \times 3. {}^{3} log(5) \times \frac{3}{2} \times {}^{5} log(2) \\ = \frac{ {}^{5} log(3) }{ {}^{5} log(2) } \times 3. {}^{3} log(5) \times \frac{ 3}{2} \times {}^{5} log(2) \\ = {}^{5} log(3) \times 3. {}^{3} log(5) \times \frac{3}{2} \\ = 1 \times 3 \times \frac{3}{2} \\ = \frac{9}{2} \\ atau[/tex]
≈ 4½