Matematika

Pertanyaan

1. Sederhanakan
3 log 49 x 7 log 4 x 16 log 9

2. Diket:
a). 2 log 3 = a
b). 3 log 5 = b
Tentukan:
a). 12 log 15
b). 10 log 12

1 Jawaban

  • 1. Sederhanakan
    3 log 49 x 7 log 4 x 16 log 9
    = 2.^3 log 7 x ^7log4 x ^4log3
    = 2

    2. Diket:
    a). 2 log 3 = a
    b). 3 log 5 = b
    Tentukan:
    a). 12 log 15
    = log 15/log 12
    = ^3log3 + ^3log5 / 2.^2log2 + ^2log3
    = 1 + b/2 + a
    b). 10 log 12
    = log 12/log 10
    = 2.^2log2 + ^2log3 / ^3log5 + ^3log2
    = 2 + a / b + 1/a (xa/a)
    = 2a + a^2 / ab + 1

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