If ${a^x} = b,{b^y} = c,{c^z} = a,$ then value of $xyz$ is

  • A

    $0$

  • B

    $1$

  • C

    $2$

  • D

    $3$

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  • [IIT 1992]

$\sum\limits_{n = 1}^n {{1 \over {{{\log }_{{2^n}}}(a)}}} = $