Matematika

Pertanyaan

nomor 4&5 jawabanya apa,,
nomor 4&5 jawabanya apa,,

1 Jawaban

  • x = 1/7 = 7^-1
    27log8 = (3^3)log2^3 = 3/3 . 3log2 = 3log2
    8log125 = (2^3)log5^3 = 3/3 . 2log5 = 2log5
    xlog5 = (7^-1)log5 = -1 . 7log5 = 7log5^-1 = 7log(1/5)

    9^(27log8) . 4^(8log125) . 7^(xlog5)
    = 3^2(3log2) . 2^2(2log5) . 7^(7log(1/5))
    = (3^(3log2))^2 . (2^(2log5))^2 . (1/5)
    = (2)^2 . (5^2) . 1/5
    = 4 . 25 . 1/5
    = 20

    2) 2log64 - 3 . 2log8 + 4 . 2log(1/16) + 1/4 . 2log256
    = 2log2^6 - 3 . 2log2^3 + 4 . 2log2^-4 + 1/4 . 2log2^8
    = 6 . 2log2 - 3 . 3 . 2log2 + 4 . (-4) . 2log2 + 1/4 . 8 . 2log2
    = 6 - 9 + (-16) + 2
    = -17