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BCECE Engineering BCECE Engineering Solved Paper-2006

  • question_answer
    The solution of \[{{\log }_{99}}\{{{\log }_{2}}({{\log }_{3}}x)\}=0\]is:

    A)  4                            

    B)         9           

    C)         44                         

    D)         99          

    Correct Answer: B

    Solution :

    Given that, \[{{\log }_{99}}\{{{\log }_{2}}({{\log }_{3}}x)\}=0\] \[\Rightarrow \]               \[{{\log }_{2}}({{\log }_{3}}x)={{(99)}^{o}}\] \[\Rightarrow \]               \[{{\log }_{2}}({{\log }_{3}}x)=1\] \[\Rightarrow \]               \[{{\log }_{3}}x=2\] \[\Rightarrow \]               \[x={{3}^{2}}=9\]


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