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SSC Sample Paper Mock Test-13 SSC CGL Tear-II Paper-1

  • question_answer
    If \[\log {{x}^{2}}{{y}^{2}}=a\]and \[\log \frac{x}{y}=b,\]then \[\frac{\log x}{\log y}\]is equal to

    A)  \[\frac{a-3b}{a+2b}\]

    B)  \[\frac{a+3b}{a-2b}\]

    C)  \[\frac{a+2b}{a-3b}\]

    D)  \[\frac{a-2b}{a+3b}\]

    Correct Answer: C

    Solution :

    \[\log {{x}^{2}}{{y}^{2}}=a\]\[\Rightarrow \]\[2\log x+2\log y=a\] \[\Rightarrow \]\[\log x-\log y=b\] Solving \[\log x=\frac{a+2b}{4}\]and \[\log y=\frac{a-3b}{4}\] \[\therefore \]      \[\frac{\log x}{\log y}=\frac{a+2b}{a-3b}\]


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