Question

P : 3 Log 2
Q : 5 Log 3

Tentukan 15 Log 360 =

Answer 1

Verified answer

Bab Logaritma
Matematika SMA Kelas X

P = ³log 2
Q = ⁵log 3

¹⁵log 360 = ³log 360 / ³log 15
               = ³log (8 x 9 x 5) / ³log (3 x 5)
               = (³log 2³ + ³log 9 + ³log 5) / (³log 3 + ³log 5)
               = (3P + ³log 3² + ³log 5) / (1 + ³log 5)
               = (3P + 2 + 1/Q) / (1 + 1/Q)
                = (3PQ + 2Q + 1)/Q : (Q + 1)/Q
                = (3PQ + 2Q + 1) / (Q + !)