for `x,x,z gt 0` Prove that `|{:(1,,log_(x)y,,log_(x)z),(log_(y)x,,1,,log_(y)z),(log_(z) x,,log_(z)y,,1):}| =0`

for `x,x,z gt 0` Prove that `|{:(1,,log_(x)y,,log_(x)z),(log_(y)x,,1,,log_(y)z),(log_(z) x,,log_(z)y,,1):}| =0`
A. `logx*logy*logz`
B. logx+logy+logy
C. 0
D. `1-{(logx)*(logy)*(logz)}`

for `x,x,z gt 0` Prove that `|{:(1,,log_(x)y,,log_(x)z),(log_(y)x,,1,,log_(y)z),(log_(z) x,,log_(z)y,,1):}| =0`

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