Multiple Choice Questions on Simplify the following equation 2log x y 2log2 logx logy ........ for NDA Exam Preparation

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Multiple Choice Questions

Simplify the following equation 2log x y 2log2 logx logy ........

Mathematics (NDA) Logarithm
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    Simplify the following equation 2log(x+y)=2log2 + (logx +logy) ?

    x-y =2

    Incorrect Answer

    x+y =1

    Incorrect Answer

    x+y =0

    Incorrect Answer

    x-y =0

    Correct Answer
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    Explanation:

    2log(x+y)=2log2 +  (logx +logy)

    2 log(x+y)=2log2 +logx +logy

    Log(x+y)2  =log4  +logxy

    Log(x+y)2   -logxy  =log 4

    Log(x+y)2  /xy   =log4

    X2 +y2 +2xy =4xy

    (x-y)2  =0

    x-y  =0

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