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If [latex] { a }^{ x }={ b }^{ y }={ c }^{ z } [/latex]   and a + b = c then Find the value of z in terms of x & y ?

 

A) [latex] \frac { x+y }{ xy }  [/latex]

B) [latex] \frac { x.y }{ x+y } [/latex]

C) [latex] \frac { x-y }{ x+y }  [/latex]

D) [latex] \frac { x+y }{ x-y } [/latex]