Logarithm relation

Algebra Level 4

{x=log2k(k)y=log3k(2k)z=log4k(3k)\large{\begin{cases} x = \log_{2k}(k) \\ y = \log_{3k}(2k) \\ z = \log_{4k}(3k) \end{cases}}

Establish a relation between x,y,z x , y , z , such that the above system of equations satisfies

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