Matematika

Pertanyaan

Diketahui 2log 3=a dan 2log 5=b nilai 2log 360

1 Jawaban

  • 2log 360 = 2log (36 x 2 x 5)
                   = 2log 36 + 2log 2 + 2log 5
                   = 2log (3² x 2²) + 1 + b
                   = 2log 3² + 2log 2² + 1 + b
                   = 2.2log 3 + 2.2log2 + 1 + b
                   = 2a + 2(1) + 1 + b
                   = 2a + b + 3
    catatan
    a log a = 1
    a log a = alog (b x c)
    a log (b x c) = alog b + alog c
    a log b² = 2 a log b

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