Matematika

Pertanyaan

sebutkan kaidah-kaidah logaritma dan berikan contohnya

1 Jawaban

  • Kaidah-Kaidah Logaritma

    1) alog x.y = alog x + alog y

    2) alog x/y = alog x – alog y

    3) alog xr = r alog x

    4) alog x = alog b. blog x

    5) alog b. blog a = 1

    6) alog a =1

    7) alog 1 = 0



    Contoh:

    1) 2log (16.32) = 2log 16 + 2log 32 = 2log 24 + 2log 25= 4 + 5 = 9

    2) 6log (1296/36) = 6log 1296 – 6log 36 = 6log 64 – 6log 62 = 4 – 2 = 2

    3) 4log 64 = 4log 43 = 3 4log 4 = 3

    4) 3log 81 = 3log 9. 9log 81 = 2. 2 = 4

    5) 4log 16.16log 4 = 1

    6) 7log 7 =1

    7) 5log 1 = 0

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