8th Class Mathematics Related to Competitive Exam Question Bank Logarithms

  • question_answer
    If \[\mathbf{lo}{{\mathbf{g}}_{\mathbf{5}}}\mathbf{x+2lo}{{\mathbf{g}}_{\mathbf{25}}}\mathbf{x+3lo}{{\mathbf{g}}_{\mathbf{125}}}\mathbf{=9,}\] then x = _______.

    A)  6                                

    B)  36             

    C)  125  

    D)  None of these

    Correct Answer: C

    Solution :

    (c): \[lo{{g}_{5}}x+21o{{g}_{25}}x+31o{{g}_{125}}x=9\] \[\Rightarrow lo{{g}_{5}}\text{ }x+lo{{g}_{5}}x+lo{{g}_{5}}x=9\] \[\Rightarrow \]\[3lo{{g}_{5}}x=9\Rightarrow lo{{g}_{5}}x=3\] \[\Rightarrow x=5\]


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