Diketahui ³log5 = p dan ³log2 = q . nilai 20log 200  =

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Diketahui ³log5 = p dan ³log2 = q . nilai 20log 200  =

³log 200 / ³log 20 = ³log 2³ . ³log 5² / ³log 5 . ³log 2²
                         = 3 ³log2 + 2 ³log5 / ³log5 + 2 ³log2
                         = 3q + 2p / p + 2q

20log ^{20} log 200 = frac{log 200}{log 20} \ = frac{log2.100}{log 4.5} \ = frac{log 2 + log 10^{2} }{log 2^{2} + log 5} \ = frac{log 2 + 2}{2 . log2 + log5} \ = frac{ ^{3}log2 + 2}{2 . ^{3}log 2 + ^{3} log 5} \ = frac{q+2}{2q+p}