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latihan Soal Logaritma

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  • Matematika: Latihan Soal Logaritma 12/6/2011

    Syawaludin A. Harahap 1

    MATA KULIAHMATA KULIAH :: MATEMATIKAMATEMATIKAKODE MATA KULIAHKODE MATA KULIAH :: UNM10.103UNM10.103SKSSKS :: 2 (12 (1--1) 1)

    LATIHAN SOAL LATIHAN SOAL LOGARITMALOGARITMA

    OlehOlehSyawaludinSyawaludin A. A. HarahapHarahap, , MScMSc

    UNIVERSITAS PADJADJARANUNIVERSITAS PADJADJARANFAKULTAS PERIKANAN DAN ILMU KELAUTANFAKULTAS PERIKANAN DAN ILMU KELAUTAN

    JATINANGORJATINANGOR20102010

    Soal Soal -- 11

    log 3 = 0,477 log 3 = 0,477 dandan log 2 = 0,301log 2 = 0,301NilaiNilai log 18 = .log 18 = .a.a. 1,5521,552b.b. 1,5251,525c.c. 1,2551,255d.d. 1,2351,235

  • Matematika: Latihan Soal Logaritma 12/6/2011

    Syawaludin A. Harahap 2

    PembahasanPembahasan

    log 3 = 0,477 log 3 = 0,477 dandan log 2 = 0,301log 2 = 0,301log 18 = log 9 x 2log 18 = log 9 x 2

    = log 9 + log 2= log 9 + log 2= log 3= log 322 + log 2+ log 2= 2 (0,477) + 0,301= 2 (0,477) + 0,301= 0,954 + 0,301= 0,954 + 0,301= 1,255 = 1,255 c. 1,255c. 1,255

    Soal Soal -- 22

    log 2 = 0,301 log 2 = 0,301 dandan log 5 = 0,699log 5 = 0,699NilaiNilai log 5 + log 8 + log 25 = .log 5 + log 8 + log 25 = .a.a. 22b.b. 33c.c. 44d.d. 55

  • Matematika: Latihan Soal Logaritma 12/6/2011

    Syawaludin A. Harahap 3

    PembahasanPembahasan

    log 2 = 0,301 log 2 = 0,301 dandan log 5 = 0,699log 5 = 0,699= log 5 + log 8 + log 25= log 5 + log 8 + log 25= log 5 + log 2= log 5 + log 233 + log 5+ log 522

    = log 5 + 3.log 2 + 2.log 5= log 5 + 3.log 2 + 2.log 5= 0,699 + 3(0,301) + 2(0,699)= 0,699 + 3(0,301) + 2(0,699)= 0,699 + 0,903 + 1,398= 0,699 + 0,903 + 1,398= 3,0= 3,0 b. 3b. 3

    Soal Soal -- 33

    DiketahuiDiketahui log 4,72 = 0,674log 4,72 = 0,674NilaiNilai daridari log 4.720 = .log 4.720 = .a.a. 1,6741,674b.b. 2,6742,674c.c. 3,6743,674d.d. 4,6744,674

  • Matematika: Latihan Soal Logaritma 12/6/2011

    Syawaludin A. Harahap 4

    PembahasanPembahasan

    log 4,72 = 0,674log 4,72 = 0,674log 4.720 = log (4,72 x 1000)log 4.720 = log (4,72 x 1000)

    = log 4,72 + log 1000= log 4,72 + log 1000= log 4,72 + log 10= log 4,72 + log 1033

    = 0,674 + 3= 0,674 + 3= 3,674= 3,674

    c. 3,674c. 3,674

    Soal Soal -- 44

    DiketahuiDiketahui log 3 = 0,477 log 3 = 0,477 dandanlog 5 = 0,699. log 5 = 0,699. NilaiNilai log 135 = .log 135 = .a.a. 2,7782,778b.b. 2,7322,732c.c. 2,1762,176d.d. 2,1302,130

  • Matematika: Latihan Soal Logaritma 12/6/2011

    Syawaludin A. Harahap 5

    PembahasanPembahasan

    log 3 = 0,477 log 3 = 0,477 dandan log 5 = 0,699. log 5 = 0,699. log 135 = log (27 x 5)log 135 = log (27 x 5)

    = log 27 + log 5= log 27 + log 5= log 3= log 333 + log 5+ log 5= 3(0,477) + 0,699= 3(0,477) + 0,699= 1,431 + 0,699= 1,431 + 0,699= 2,130= 2,130 d. 2,130d. 2,130

    Soal Soal -- 55

    DiketahuiDiketahui log 3 = a log 3 = a dandan log 2 = b. log 2 = b. MakaMaka log 18 = .log 18 = .a.a. 2a 2a bbb.b. 2a + b2a + bc.c. a + 2ba + 2bd.d. a a 2b2b

  • Matematika: Latihan Soal Logaritma 12/6/2011

    Syawaludin A. Harahap 6

    PembahasanPembahasan

    DiketahuiDiketahui log 3 = a log 3 = a dandan log 2 = b. log 2 = b. log 18 = log (9 x 2)log 18 = log (9 x 2)

    = log 9 + log 2= log 9 + log 2= log 3= log 322 + log 2+ log 2= 2.log 3 + log b= 2.log 3 + log b= 2(a) + b= 2(a) + b= 2a + b= 2a + b b. 2a + bb. 2a + b

    Soal Soal -- 66

    DiketahuiDiketahui pploglog 27 = 3x 27 = 3x MakaMaka pploglog 243 = .243 = .a.a. 4x4xb.b. 5x5xc.c. 6x6xd.d. 7x7x

  • Matematika: Latihan Soal Logaritma 12/6/2011

    Syawaludin A. Harahap 7

    PembahasanPembahasan

    pploglog 27 = 3x 27 = 3x 3333 = p= p3x3x

    MakaMaka: : x = 1 x = 1 dandan p = 3 p = 3 pploglog 243 = 243 = 33log (3)log (3)55

    = 5.= 5.33log 3log 3= 5 . X= 5 . X= 5x= 5x b. 5xb. 5x

    Soal Soal -- 77

    DiketahuiDiketahui log 2 = 0,301 log 2 = 0,301 MakaMaka log 50 = .log 50 = .a.a. 0,6990,699b.b. 1,3011,301c.c. 1,6991,699d.d. 2,3012,301

  • Matematika: Latihan Soal Logaritma 12/6/2011

    Syawaludin A. Harahap 8

    PembahasanPembahasan

    log 2 = 0,301 log 2 = 0,301 log 50 log 50 = log (100 : 2)= log (100 : 2)

    = log 100 = log 100 log 2log 2= log 10= log 1022 log 2 log 2 = 2 = 2 0,3010,301= 1,699= 1,699

    c. 1,699c. 1,699

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