jika log x^2/y^4= -24, maka log 3√y^2/x=
Matematika
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Pertanyaan
jika log x^2/y^4= -24, maka log 3√y^2/x=
1 Jawaban
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1. Jawaban arsetpopeye
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