9th Class Mathematics Related to Competitive Exam Question Bank Logarithms

  • question_answer
    If \[lo{{g}_{5}}x+2{{\log }_{25}}x+3lo{{g}_{12}}x=9,\] then x = ________.

    A)  6                                

    B)  36              

    C)  125     

    D)  None of these

    Correct Answer: C

    Solution :

    (c): \[lo{{g}_{5}}x+2lo{{g}_{25}}x+3lo{{g}_{125}}x=9\] \[\Leftrightarrow lo{{g}_{5}}x+lo{{g}_{5}}x+lo{{g}_{5}}x=9\] \[\Leftrightarrow 3lo{{g}_{5}}x=9\Leftrightarrow lo{{g}_{5}}x=3\] \[\Leftrightarrow x={{5}^{3}}\]                        


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