Jika diketahui 2log3 = x dan 2log5 = y, nilai 36log√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{1}{ \frac{4}{} } . {}^{6} log \: 120 \\ = 1 / 4( \frac{ {}^{2} log \: 120}{ {}^{2}log \: 6 } ) \\ = 1 / 4( \frac{ {}^{2}log \: ( {2}^{3} \times 3 \times 5) }{ {}^{2}log \: (2 \times 3) } ) \\ = 1 / 4( \frac{ {}^{2}log \: {2}^{3} + {}^{2} log \: 3 + {}^{2} {log \: 5}^{} }{ {}^{2}log \: 2 + {}^{2}log \: 3 } ) \\ = 1 / 4 \: \frac{3 + x + y}{x + 1} \\ = 1 / 4 \frac{ 3 + x + y}{x + 1} \\ = \frac{ 3 + x + y}4({x + 1})[/tex]
Semoga bermanfaat.....
-Prisco