Matematika

Pertanyaan

Jika A = 7log2 dan B = 2log3 tentukanlah 6log98!

Tolong dong ajarin! Step by step dan alasannya dong please butuh bgtt thanks yaa

2 Jawaban

  • ⁷log2 = a
    ²log7 = 1/a

    ⁶log 98
    = ²log98 / ²log 6
    = ²log(49x2) / ²log(2x3)
    = ²log(7² x 2) / ²log(2x3)
    = (²log7² + ²log 2) / (²log2 + ²log3)
    = (2. ²log7 + ²log2) / ( ²log2 + ²log3)
    = (2. 1/a + 1) / (1 + b)
    = (2/a + 1) / (1 + b)
  • 7'log 2 = a
    2'log 3 = b
    7'log 3 = ab

    6'log 98
    = 2'log 98 / 2'log 6
    = 2'log (2 × 7²) / 2'log (2 × 3)
    = (2'log 2 + 2 . 2'log 7) / (2'log 2 + 2'log 3)
    = (1 + 2 . 1/a) / (1 + b)
    = (a + 2) / a(1 + b)
    = (a + 2) / (a + ab)

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