Multiple Choice Questions on If logx a b logy b c logz c a then find the value of xyz ........ for NDA Exam Preparation

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Multiple Choice Questions

If logx a b logy b c logz c a then find the value of xyz ........

Mathematics (NDA) Logarithm
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    If , logx/a-b =logy/b-c =logz/c-a ,then find the value of xyz?

    2

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    3

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    6

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    Explanation:

    logx/a-b   =logy/b-c  =logz/c-a   =t

    logx/a-b     =t

    logx    =(at-bt)

    logy/b-c  =t

    logy    =bt-ct

    logz  =ct-at

    logx  + logy  + logz  =at-bt +bt-ct+ct-at

    logx  + logy  + logz  =0

    logxyz   =0

    xyz=1

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