nilai 6 log 60 bila 2 log 3=a dan 3log 5= b
Matematika
Agnita11
Pertanyaan
nilai 6 log 60 bila 2 log 3=a dan 3log 5= b
1 Jawaban
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1. Jawaban Anonyme
2log6 = 2log(2x3)
=2log2 + 2log3
=1+a
5log6 = 5log(2x3)
=5log2 + 5log3
=5log3 x 3log2 + 5log3
=1/b x 1/a + 1/b
=1/ab + 1/b
=(a+1)/ab
6log60 = 6log(6x10)
=6log6 + 6log10
=1 + 6log(2x5)
=1 + 6log2 + 6log5
=1 + 1/(2log6) + 1/(5log6)
=1 + 1/(a+1) + 1/[(a+1)/ab]
=1 + 1/(a+1) + ab/(a+1)
=1 + (1 + ab)/(a + 1)