Jika ³log5 = P dan ⁵log4 = Q, maka ⁴log15 = ?
Matematika
kikyputri1
Pertanyaan
Jika ³log5 = P dan ⁵log4 = Q, maka ⁴log15 = ?
2 Jawaban
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1. Jawaban RizkaNabilaa
⁴log15 = log15 / log 4 = ³log (5 x 3) / ⁵log4 = ³log5 + ³log3 / ⁵log4 = p + 1 / q -
2. Jawaban iskadewi
3 log 5 = p
-> log 5 / log 3 = p
-> log 3 = log 5 / p
-> log 5 = log 3 .p
5 log 4 = q
-> log 4 / log 5 = q
-> log 4 = q . log 5
-> log 5 = log 4 / q
4 log 15
= log 15 / log 4
= log 3.5 / q . log 5
= log 3 + log 5 / q . log 5
= log 5.p + log 5 / q . log 5
------------------------------------------ di bagi log 5
= p + 1 / q