Matematika

Pertanyaan

jika 2log1/a=3/2dan 16log b=5maka alog 1/b3???

2 Jawaban

  • LogAritMa

    2'og 1/a = 3/2
    1/a = 2^3/2
    a = 2^-3/2

    16'log b = 5
    b = 16^5
    b = 2^20

    a'log b
    = (2^-3/2)'log 2^20
    = 20/(-3/2) . 2'log 2
    = -20 . 2/3
    = -40/3 ✓
  • jawab

    ²log (1/a) = 3/2
    ²log a⁻¹ = 3/2
    - 1 (²log a) = 3/2
    ²log a = - 3/2


    ¹⁶log b = 5 → ²^⁴log b = 5
    (1/4). ²log b = 5
    ²log b =  20

    ᵃlog 1/b³ = ᵃ log b⁻³ = -3 [ ᵃlog b]
    = - 3 [ ²log b/²log  a]
    = - 3 [20/(-3/2)]
     = - 3 (-40/3)
    =  40

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