Logaritma muchlis

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Logaritma muchlis

  1. 1. 02:21:26 02:21:26TUTUPLogaritmaLogaritmaKelas X Semester 1Oleh : Muchlis,M.Pd.KOMPETENSIDASARSOALPENGERTIAN SIFAT-SIFATTUJUAN
  2. 2. 02:21:27 02:21:27Kompetensi DasarKompetensi DasarMenggunakanaturan pangkat,akar, danlogaritma
  3. 3. 02:21:27 02:21:27Tujuan:Membantu siswa dalam menghitungnilai logaritma
  4. 4. 02:21:26 02:21:26Pengertian LogaritmaPengertian Logaritmaalog b = cjika dan hanya jika ac= ba= bilangan pokokb= bilangan yang dilogkanc= bilangan hasil logaritmaPerhatikan:Catatan:Logaritma bilangan nol dan negatif tidak didefinisikanBilangan pokok logaritma adalah positif dan tidak sama dengan 1alog 1 = 0
  5. 5. 02:21:27 02:21:27Lengkapi bentuk-bentuk:Lengkapi bentuk-bentuk:62= 36103= 1000327 = 36log 36 = 210log1000 = 327log3 = 1/3Hitung nilai logaritma dari:Hitung nilai logaritma dari:=491271log
  6. 6. 02:21:27 02:21:27Sifat-sifat logaritmaSifat-sifat logaritmanmnm aaaloglog).log( +=nmnm aaalog_loglog =mnm analog.log =abb ppalogloglog =ma ma=log12345
  7. 7. 02:21:26 02:21:26nmnm aaaloglog)log( +=×Misalkan)1........(log xaammakaxm ==)2(..........log yaanmakayn ==Kalikan persamaan(1) dan (2), diperolehyxaanm ×=×yxanm +=×yxaaanm +=× log)log(definisimenurutyxnma,)log( +=×)(,loglog)log( terbuktinmnm aaa+=×
  8. 8. 02:21:27 02:21:27mnm analog.log =)...log(log mmmmmmm ana×××××=)logloglog...loglogloglog mmmmmmm aaaaaana++++++=)(log.log terbuktimnm ana=n faktor masing-masing mmgmagmanpenjumlahasukun alogsin_sin
  9. 9. 02:21:27 02:21:2722212log 212=⇔=...27log3=...2log2=...8log4log 22=+123273327log 33=⇔=532log)84log(⇔58log4log 2222===+ x
  10. 10. 02:21:26 02:21:26241040 22== log)log(=228log63282 2== xlog.45...log_log =1040 22Jawab :
  11. 11. 02:21:26 02:21:26aDiketahui =3log:2...81log4=.a=== 3log3log27log 2328 36...27log8=a23log.243log81log 2424 2===7
  12. 12. 02:21:27 02:21:27

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