Multiple Choice Questions on if 2 x 3 y 6 z then value of 1 x 1 y 1 z is ........ for CDS Exam Preparation

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Multiple Choice Questions

if 2 x 3 y 6 z then value of 1 x 1 y 1 z is ........

Quantitative Aptitude (CDS) Simplification
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    if 2^x =3^y =6^-z ,then value of (1/x +1/y +1/z) is

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    Explanation:

    2^x =3^y =6^-z
    taking log
    xlog2 =y log3 =-zlog6
    xlog2 =y log3 =-zlog6=k
    x=k/log2
    y=k/log3
    z=-k/log6
    (1/x +1/y +1/z) 
    =(log2 /k + log3 /k +(-log6 /k))
    =(log2 +log3 -log6)/k
    =(log6 - log6)/k
    =0

    By: bhavesh kumar singh
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