jika 2 log 3=a, 5 log 2 = b maka 15 log 12 =............
Matematika
Natalsinaga123
Pertanyaan
jika 2 log 3=a, 5 log 2 = b maka 15 log 12 =............
1 Jawaban
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1. Jawaban MathSolver74
2'log 3 = a
5'log 2 = b
15'log 12 = ²log 12 / ²log 15
= (²log 2² x 3) / (²log 3 x 5)
= (2 ²log 2 + ²log 3) / (²log 3 + ²log 5)
= (2(1) + a) / (a + 1/b)
= (2b + ab) / (ab + 1)