Suppose x , y ,z=0 and are not equal to ...

Suppose `x , y ,z=0` and are not equal to 1 and `logx+logy+logz=0.` Find the value of `1/(x^(logy))+1/(^(logz))1/(y^(logz))+1/(^(logx))1/(z^(logx))+1/(^(logy))`

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