Matematika

Pertanyaan

x^2+4y^2=12xy
nilai log(x+2y)^2/(x-2y)^2 adalahh.....
tolong di bantu yaaa
butuh sekarangg

2 Jawaban

  • x² + 4y² = 12xy

    log (x + 2y)² / (x - 2y)²
    = log (x² + 4xy + 4y²) / (x² - 4xy + 4y²)
    = log (12xy + 4xy) / (12xy - 4xy)
    = log 16xy / 8xy
    = log 2
  • [tex]log \frac{ (x+2y)^2}{(x-2y)^2} \\ \\= log \frac{x^2+4y^2+4xy}{x^2+4y^2-4xy} \\ \\= log \frac{12xy+4xy}{12xy-4xy} \\ \\= log \frac{16xy}{8xy} \\ \\= log2 [/tex]

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