Matematika

Pertanyaan

^ylogx = 3
^ylogz = 2
Nilai dari ^(y/x)log (z/y)

1 Jawaban

  • ^ylog z = 1 / ^zlog y
    maka ^zlog y = 1/2
    ^zlog y . ^ylog x = 1/2 . 3
    ^zlog x = 3/2
    = {^(y/x) log z} - {^(y/x) log y}
    = {1 / ^z log (y/x)} - {1 / ^y log (y/x)}
    = {1 / (^zlog y - ^zlog x)} - {1 / (^ylog y - ^ylog x)}
    = {1 / (½ - 3/2)} - {1 / (1 - 3)}
    = {1 / (-½)} - {1 / -2}
    = -2 + 1/2
    = -1½

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