Matematika

Pertanyaan

tolong dibantu yaaa makasiih.... no 25
tolong dibantu yaaa makasiih.... no 25

2 Jawaban

  • jawab

    ᵇlog a = - 2 --> a = b⁻²

    ³log b = ³log 2 { 1 + ²log 4a}

    ³log b = ³log 2 { ²log 2 + ²log 4(b⁻²)}
    ³log b = ³log 2.²log 8b⁻²
    ³log b = ³log 8b⁻²

    b = 8b⁻²
    b³ = 8
    b = 2

    a = b⁻² = (2)⁻² = 1/4

    4a + b = 4 (1/4) + 2
    4a + b = 3
  • Kelas 10 Matematika
    Bab Logaritma

    ^ = pangkat

    ^3log b = ^3log 2 (1 + ²log 4a)
    ^3log b = ^3log 2 + ^3log 2 . ²log 4a
    ^3log b = ^3log 2 + ^3log 4a
    ^3log b = ^3log (2 . 4a)
    ^3log b = ^3log 8a
    b = 8a

    ^blog a = -2
    a = b^-2
    a = (8a)^-2
    a = 1/64a²
    a . a² = 1/64
    a = ^3√(1/64)
    a = 1/4

    b = 8 . a
    b = 8 . 1/4
    b = 2

    4a + b
    = 4 . 1/4 + 2
    = 1 + 2
    = 3

    ✩✩ A ✩✩