Multiple Choice Questions on if log5 x2 x log5 x 1 2 then the value of x is ........ for CDS Exam Preparation

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Multiple Choice Questions

if log5 x2 x log5 x 1 2 then the value of x is ........

Quantitative Aptitude (CDS) Logarithm
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    if log5(x2 +x)-log5(x+1) = 2 , then the value of x is

    5

    Incorrect Answer

    10

    Incorrect Answer

    25

    Correct Answer

    32

    Incorrect Answer
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    Explanation:

    log5(x2+x)-log5(x+1)=2
    =>log_{5}(\frac{x^{2}+x}{x+1})=2
    =>log_{5}(\frac{x(x+1)}{x+1})=2
    =>log_{5}x=2 =>x=5^{2}=>x=25

    By: Munesh Kumari
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