8th Class Mathematics Related to Competitive Exam Question Bank Logarithms

  • question_answer
    \[\frac{\mathbf{log}\sqrt[\mathbf{3}]{\mathbf{6}}}{\mathbf{log6}}\] is equal to:

    A)  \[\frac{1}{\sqrt{8}}\]                            

    B)  \[\frac{1}{4}\]               

    C)  \[\frac{1}{3}\]          

    D)  \[\frac{1}{8}\]

    Correct Answer: C

    Solution :

    (c): \[\frac{\log \sqrt[3]{6}}{\log 6}=\frac{\log {{(6)}^{1/3}}}{\log 6}=\frac{\frac{1}{3}\log 6}{\log 6}=\frac{1}{3}\]           


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