4log 9 x 3log 2 + 4log 8 dibagi 9log 6 - 9log 2

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


[tex] \frac{{}^{4} log(9) \times {}^{3} log(2) + {}^{4} log(8) }{ {}^{9} log(6) - {}^{9} log(2) } \\ = \frac{ {}^{4} log(9) \times {}^{3} log(2) + {}^{2 {}^{2} } log(2 {}^{3} ) }{ {}^{9} log(6) - {}^{9} log(2) } \\ = \frac{ {}^{4} log(9) \times {}^{3} log(2) + \frac{3}{2} }{ {}^{9} log(6) - {}^{9} log(2) } \\ = \frac{(2. {}^{4} log9 \times {}^{3} log2 + 3 ) \div 2}{ {}^{9} log(6) - {}^{9} log(2) } \\ = \frac{2. {}^{4} log(9) \times {}^{3} log(2) + 3}{2( {}^{9} log6 - {}^{9} log2) } \\ = \frac{2. {}^{4} log(9) \times {}^{3} log(2) + 3 }{2( {}^{3 {}^{2} } log6 - {}^{3 {}^{2} } log2) } \\ = \frac{2. {}^{4} log(9) \times {}^{3} log(2) + 3 }{2( \frac{1}{2} \times {}^{3} log(6) - \frac{1}{2} \times {}^{3} log(2) } \\ = \frac{2. {}^{4} log(9) \times {}^{3} log(2) + 3 }{2 \times (( {}^{3} log6 - {}^{3} log2) \div 2) } \\ = \frac{2. {}^{4} log(9) \times {}^{3} log(2) + 3 }{ {}^{3} log(3) } \\ = 2. {}^{2 {}^{2} } log(3 {}^{2} ) \times {}^{3} log(2) + 3 \\ = 2. {}^{2} log(3) \times {}^{3} log(2) + 3 \\ = 2 \times 1 + 3 \\ = 5[/tex]