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Question

Evaluate: 1logxy xyz+1logyz xyz+1logzx xyz=

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Solution

1logxy xyz+1logyz xyz+1logzx xyz=

=logxyz xy+logxyz yz+logxyz xz [1loga b=logb a]

=logxyz x2y2z2 loga m+loga n=loga m.n

=logxyz (xyz)2

=2.1=2


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