Matematika

Pertanyaan

Diketahui 2 log3 = a dan 3 log5 = b . Berapakah nilai 25 log81 x 2 log 25 ?

1 Jawaban

  • 2log3 = a
    3log5 = b
    2log3×3log5 = ab
    2log5 = ab

    25log81 × 2log25

    5^2log3^4 × 2log5^2

    4
    -- 5log3 × 2 2log5
    2

    2 5log3 × 2 2log5

    1
    2 --- × 2 ab
    b

    2 2 ab^2
    --- × -----------
    b b

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