2log 3 = x dan 2log5 = y maka 36log akar 120 adalah ...

Mapel : Matematika
Materi : Aritmatika dan Sosial
Sub Materi : Logaritma
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²log 3 = x
²log 5 = y
[tex] {}^{36} log \sqrt{120} \\ = {}^{6 {}^{2} } log \: {120}^{ \frac{1}{2} } \\ = \frac{2}{ \frac{1}{2} } . {}^{6} log \: 120 \\ = 4( \frac{ {}^{2} log \: 120}{ {}^{2}log \: 6 } ) \\ = 4( \frac{ {}^{2}log \: ( {2}^{3} \times 3 \times 5) }{ {}^{2}log \: (2 \times 3) } ) \\ = 4( \frac{ {}^{2}log \: {2}^{3} + {}^{2} log \: 3 + {}^{2} {log \: 5}^{} }{ {}^{2}log \: 2 + {}^{2}log \: 3 } ) \\ = 4 \: \frac{3 + x + y}{1 + x} \\ = \frac{4(1 + x) + 3 x+ x + y}{1 + x} \\ = \frac{4 + 4x + 3 x+ x + y}{1 + x} \\ = \frac{4 + 8x + y}{1 + x} [/tex]
Semoga bermanfaat.....
-Prisco