已知log(2)x=5,log(3)y=-2,求log(6)[3x/4y]...(括弧者为底数)

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已知log(2)x=5,log(3)y=-2,求log(6)[3x/4y]...(括弧者为底数)已知log(2)x=5,log(3)y=-2,求log(6)[3x/4y]...(括弧者为底数)已知lo

已知log(2)x=5,log(3)y=-2,求log(6)[3x/4y]...(括弧者为底数)
已知log(2)x=5,log(3)y=-2,求log(6)[3x/4y]...(括弧者为底数)

已知log(2)x=5,log(3)y=-2,求log(6)[3x/4y]...(括弧者为底数)
由已知得x=2^5,y=3^(-2)
log(6)[3x/4y]=log(6)[x/4]+log(6)[3/y]
=log(6)[(2^5)/4]+log(6)[3*3^2]
=3log(6)[2]+3log(6)[3]
=3log(6)[2*3]
=3

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