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Q. If $a =\log _{ x } yz , b =\log _{ y } zx \& c =\log _{ z } xy$ where $x , y , z$ are positive reals not equal to unity, then $a b c-a-b-c$ is equal to :

Continuity and Differentiability

Solution:

consider $-[ a + b + c - abc ] \quad abc = a + b + c +2$