9th Class Mathematics Related to Competitive Exam Question Bank Logarithms

  • question_answer
    If \[{{\log }_{2}}\left[ {{\log }_{3}}\left( {{\log }_{2}}x \right) \right]=1\], then x is equal to:

    A)  0                    

    B)  12            

    C)  128                             

    D)  512

    Correct Answer: D

    Solution :

    (d): \[log2\left[ lo{{g}_{3}}\left( lo{{g}_{2}}x \right) \right]=1=lo{{g}_{2}}2\] \[\Leftrightarrow lo{{g}_{3}}(lo{{g}_{2}}x)=2\Leftrightarrow lo{{g}_{2}}x={{3}^{2}}=9\] \[\Leftrightarrow x={{2}^{9}}=512\]


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