Matematika

Pertanyaan

diketahui 5 log 3 = a, 3 log 4 = b , jawaban dari gambar di atas adalah
diketahui 5 log 3 = a, 3 log 4 = b , jawaban dari gambar di atas adalah

1 Jawaban

  • 5 log 3 = a
    3 log 4 = b =====>> 3 log 2 = b/2

    (27 log 9 + 2 log 3 x √3 log 4) / (3 log 2 - 3 log 18)

    = (3^3 log 3^2 + 2 log 3 x 3^1/2 log 2^2) / (3 log 2:18)

    = (2/3 x 3 log 2 + 2 log 3 x (2 : 1/2) x 3 log 2) / (3 log 1/9)

    = (2/3 x 3 log 2 + 2 log 3 x 4 x 3 log 2) / 3 log 3^-2)

    = (2/3 x b/2 + (1 : b/2) x 4 x b/2) / (–2)

    = (b/3 + 2/b x 2b) / -2
    = (b/3 + 4) / -2
    = b/3 : -2 + 4 : -2
    = b/-6 + (-2)
    = -b/6 -2