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If f(x)=cos(logx), then show that f((1)/...

If `f(x)=cos(logx)`, then show that `f((1)/(x)).f((1)/(y))-(1)/(2)[f((x)/(y))+f(xy)]=0`

A

0

B

`f(x)`

C

`f(x)+f(y)`

D

`f(x)f(y)`

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