1 / 32

Logaritma dengan basis 10

Logaritma dengan basis 10. Pada bentuk p log a = m, maka : 10 log a = m cukup ditulis log a = m. Basis 10 pada logaritma tidak perlu dituliskan . Contoh : 10 log 3  dituliskan log 3 10 log 5  dituliskan log 5. Condon Soal. ContohSoal. Contoh Soal.

eagan-best
Download Presentation

Logaritma dengan basis 10

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Logaritmadengan basis 10 • Padabentukplog a = m, maka: 10log a = m cukupditulis log a = m. • Basis 10 padalogaritmatidakperludituliskan. • Contoh: 10log 3  dituliskan log 3 10log 5  dituliskan log 5

  2. Condon Soal ContohSoal

  3. Contoh Soal 1. Jika4log 64 = x Tentukannilai x = …. Jawab: 4log 64 = x  4x = 64 4x = 43 x = 3.

  4. Contoh Soal 2. Nilaidari2log 8 + 3log 9 = …. Jawab: = 2log 8 + 3log 9 = 2log 23 + 3log 32 = 3 + 2 = 5

  5. Contoh Soal 3. Nilaidari2log (8 x 16) = …. Jawab: = 2log 8 + 2log 16 = 2log 23 + 2log 24 = 3 + 4 = 7

  6. Contoh Soal 4. Nilaidari3log (81 : 27) = …. Jawab: = 3log 81 - 3log 27 = 3log 34 - 3log 33 = 4 - 3 = 1

  7. Contoh Soal 5. Nilaidari2log 84 = …. Jawab: = 2log 84 = 4 x 2log 23 = 4 x 3 = 12

  8. 2log 8 = 4 2 Contoh Soal 6. Nilaidari2log 84 = …. Jawab: = 2log 84 = 2 x 2log 23 = 2 x 3 = 6

  9. Contoh Soal 7. Jika log 100 = x Tentukannilai x = …. Jawab: log 100 = x  10x = 100 10x = 102 x = 2.

  10. Latihan Soal

  11. Soal - 1 log 3 = 0,477 dan log 2 = 0,301 Nilai log 18 = …. a. 1,552 b. 1,525 c. 1,255 d. 1,235

  12. Pembahasan log 3 = 0,477 dan log 2 = 0,301 log 18 = log 9 x 2 = log 9 + log 2 = log 32 + log 2 = 2 (0,477) + 0,301 = 0,954 + 0,301 = 1,255

  13. Jawaban log 3 = 0,477 dan log 2 = 0,301 Nilai log 18 = …. a. 1,552 b. 1,525 c. 1,255 d. 1,235 c. 1,255

  14. Soal - 2 log 2 = 0,301 dan log 5 = 0,699 Nilai log 5 + log 8 + log 25 = …. a. 2 b. 3 c. 4 d. 5

  15. Pembahasan log 2 = 0,301 dan log 5 = 0,699 = log 5 + log 8 + log 25 = log 5 + log 23 + log 52 = log 5 + 3.log 2 + 2.log 5 = 0,699 + 3(0,301) + 2(0,699) = 0,699 + 0,903 + 1,398 = 3,0

  16. Jawaban log 2 = 0,301 dan log 5 = 0,699 Nilai log 5 + log 8 + log 25 = …. a. 2 b. 3 c. 4 d. 5 b. 3

  17. Soal - 3 Diketahui log 4,72 = 0,674 Nilai dari log 4.720 = …. a. 1,674 b. 2,674 c. 3,674 d. 4,674

  18. Pembahasan log 4,72 = 0,674 log 4.720 = log (4,72 x 1000) = log 4,72 + log 1000 = log 4,72 + log 103 = 0,674 + 3 = 3,674

  19. Jawaban Diketahui log 4,72 = 0,674 Nilai dari log 4.720 = …. a. 1,674 b. 2,674 c. 3,674 d. 4,674 c. 3,674

  20. Soal - 4 Diketahui log 3 = 0,477 dan log 5 = 0,699. Nilai log 135 = …. a. 2,778 b. 2,732 c. 2,176 d. 2,130

  21. Pembahasan log 3 = 0,477 dan log 5 = 0,699. log 135 = log (27 x 5) = log 27 + log 5 = log 33 + log 5 = 3(0,477) + 0,699 = 1,431 + 0,699 = 2,130

  22. Jawaban Diketahui log 3 = 0,477 dan log 5 = 0,699. Nilai log 135 = …. a. 2,778 b. 2,732 c. 2,176 d. 2,130 d. 2,130

  23. Soal - 5 Diketahui log 3 = a dan log 2 = b. Maka log 18 = …. a. 2a – b b. 2a + b c. a + 2b d. a – 2b

  24. Pembahasan Diketahui log 3 = a dan log 2 = b. log 18 = log (9 x 2) = log 9 + log 2 = log 32 + log 2 = 2.log 3 + log b = 2(a) + b = 2a + b

  25. Jawaban Diketahui log 3 = a dan log 2 = b. Maka log 18 = …. a. 2a – b b. 2a + b c. a + 2b d. a – 2b b. 2a + b

  26. Soal - 6 Diketahui plog 27 = 3x Maka plog 243 = …. a. 4x b. 5x c. 6x d. 7x

  27. Pembahasan plog 27 = 3x 33 = p3x Maka: x = 1 dan p = 3 plog 243 = 3log (3)5 = 5.3log 3 = 5 . X = 5x

  28. Jawaban Diketahui plog 27 = 3x Maka plog 243 = …. a. 4x b. 5x c. 6x d. 7x b. 5x

  29. Soal - 7 Diketahui log 2 = 0,301 Maka log 50 = …. a. 0,699 b. 1,301 c. 1,699 d. 2,301

  30. Pembahasan log 2 = 0,301 log 50 = log (100 : 2) = log 100 – log 2 = log 102 – log 2 = 2 – 0,301 = 1,699

  31. Jawaban Diketahui log 2 = 0,301 Maka log 50 = …. a. 0,699 b. 1,301 c. 1,699 d. 2,301 c. 1,699

  32. Terima Kasih.. Jangan Lewatkan Program Khusus Pembahasan Soal-soal UN 2001 s.d. 2005

More Related