Matematika

Pertanyaan

3 log 343 . 6 log 1 per 81 . 7 log 216

1 Jawaban

  • Mata Pelajaran : Matematika Peminatan
    Kelas : 10
    Bab : 02 - Fungsi Logaritma



    [tex] {}^{3} log(343) \times {}^{6} log( \frac{1}{81} ) \times {}^{7} log(216) \\ = {}^{3} log( 7{}^{3} ) . {}^{6} log(3 {}^{ - 4} ) . {}^{7} log(6 {}^{3} ) \\ =3 . {}^{3} log(7) \times ( - 4. {}^{6} log3) \times 3. {}^{7} log(6) \\ = - 3 \times \frac{ {}^{6} log(7) }{ {}^{6} log(3) } \times 4.{}^{6} log(3) \times 3. {}^{7} log(6) \\ = - 3. {}^{6} log(7) \times 4 \times 3. {}^{7} log(6) \\ = - 3 \times 1 \times 4 \times 3 \\ = - 36[/tex]

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