Matematika

Pertanyaan

jika log x^2/y^4= -24, maka log 3√y^2/x=
jika log x^2/y^4= -24, maka log 3√y^2/x=

1 Jawaban

  • log (x^2)/(y^4) = -24
    log x^2 - log y^4 = -24
    2 log x - 4 log y = -24 ====> bagi 2
    log x - 2 log y = -12 =====> kali -1
    2 log y - log x = 12

    log (y^2/x)^1/3 = 1/3 (log y^2/x)
    = 1/3 (log y^2 - log x)
    = 1/3 (2 log y - log x)
    = 1/3 (12)
    = 4