Prove that the value of each the following determinants is zero: `|logxlogylogz log2x log2y log2z log3x log3y log3z|`

Prove that the value of each the following determinants is zero: |[logx,logy,logz],[ log2x ,log2y ,log2z ],[log3x, log3y ,log3z]|

Prove that the value of each the following determinants is zero: |[logx,logy,logz],[ log2x ,log2y ,log2z ],[log3x, log3y ,log3z]|

Prove that the value of the following determinant is zero |(logx,logy,logz),(log2x,log2y,log2z),(log3x,log3y,log3z)|

Prove that the value of each the following |log x,log y,log zlog2x,log2y,log2zlog3x,log3y,log3z]|

Show that |(log x, log y, logz),(log 2x, log2y, log2z),(log3x, log3y,log3z)|=0

Delta=|[log x ,log y, log z],[log 2 x, log 2 y, log 2 z],[log 3 x, log 3 y, log 3 z ]|=

IF x yz are not equal to ne 0, ne 1 the value of |{:(logx,,logy,,logz),(log2x,,log2y,,log2z),(log3x,,log3y,,log3z):}| is equal to