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L O G A R I T M A

PEMBIMBING GISOESILO ABUDI, S.Pd. L O G A R I T M A. Pengertian Logaritma. a log b = c jika dan hanya jika a c = b a = bilangan pokok b = bilangan yang dilogkan c = bilangan hasil logaritma Perhatikan: Catatan: Logaritma bilangan nol dan negatif tidak didefinisikan

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L O G A R I T M A

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  1. PEMBIMBING GISOESILO ABUDI, S.Pd L O G A R I T M A

  2. Pengertian Logaritma alog b = c jika dan hanya jika ac = b a= bilangan pokok b= bilangan yang dilogkan c= bilangan hasil logaritma Perhatikan: Catatan: Logaritma bilangan nol dan negatif tidak didefinisikan Bilangan pokok logaritma adalah positif dan tidak sama dengan 1 alog 1 = 0

  3. Merubahbentukeksponenkelogaritma Eksponen Logaritma 6log 36 = 2 62 = 36 3 27 = 3 10log1000 = 3 27log3 = 1/3 103 = 1000

  4. Sifat-sifat logaritma 1 2 3 4 5

  5. Sifat-sifat logaritma 6 7 8 9

  6. Contoh Tentukannilaidari : • 2log 24 + 2log 3 - 2log 9 • log 5 + log 4 - log 2 + log 10 • 2. 2log 8 + 2log √2 – 3.2log 1/4

  7. Penyelesaian a 2log 24 + 2log 3 - 2log 9 = 2log (24 . 3) : 9 = 2log 8 = 2log 23 = 3.2log 2 = 3 Sifat 1 dan 2 Sifat 3

  8. Penyelesaian b log 5 + log 4 - log 2 + log 10 Log = log 100 = 2 Sifat 1 dan 2

  9. Penyelesaian c 2. 2log 8 + 2log √2 – 3.2log 1/4 = 2log 82 + 2log √2 – 2log = 2log (23)2 + 2log 2½ - 2log (2-2)3 = 2log = 2log 2 = 2log 2 = .2log 2 =

  10. Contoh Jikadiketahui log 2 = 0,3010 dan log 3 = 0,4771, makatentukan : • Log 12 • Log 36 • Log 0,125

  11. Penyelesaian a log 12 = log (2. 2. 3) = log 2 + log 2 + log 3 = 0,3010 + 0,3010 + 0,4771 = 1,0791 Dapatkahsaudaramencaripenyelesaian lain dari log 12 ?

  12. Penyelesaian b log 36 = log (2. 2. 3. 3) = log 2 + log 2 + log 3 + log 3 = 0,3010 + 0,3010 + 0,4771 + 0,4771 = 0,6020 + 0, 9542 = 1,5562 DapatkahAndamenentukanpenyelesaian lain dari log 36 ?

  13. Penyelesaian c log 0,125 = log (125 : 1000) = log ⅛ = log = log 2-3 = -3. log 2 = -3. 0,3010 = -0,9030

  14. Contoh Jika5log 4 = a dan4log 3 = b, tentukannilaidari3log 20 !

  15. Penyelesaian 3log 20 = …. 4log 5 = = 3log 4= = = 3log 20 = = = = =

  16. UntuklebihjelassilahkanAndakerjakanlatihanhalaman 49 (BukupaketErlangga) SelamatMencoba Terimakasih

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