Matematika

Pertanyaan

[Logaritma]
Jika f(x^2 + 3x + 1) = ^2log(2x^3 - x^2 + 7) , x ≥ 0
Dit : Maka f(5) ?
[Logaritma] Jika f(x^2 + 3x + 1) = ^2log(2x^3 - x^2 + 7) , x ≥ 0 Dit : Maka f(5) ?

1 Jawaban

  • Kelas 10 Matematika
    Bab Logaritma

    ^ = pangkat

    x² + 3x + 1 = 5
    x² + 3x + 1 - 5 = 0
    x² + 3x - 4 = 0
    (x + 4) (x - 1) = 0
    x + 4 = 0
    x = -4

    x - 1 = 0
    x = 1

    x >= 0

    ²log (2x^3 - x² + 7)
    = ²log (2 . 1^3 - 1² + 7)
    = ²log (2 - 1 + 7)
    = ²log 8
    = ²log 2^3
    = 3 . ²log 2
    = 3

    ✩✩ C ✩✩