8th Class Mathematics Logarithms Question Bank Logarithms

  • question_answer \[\frac{\mathbf{lo}{{\mathbf{g}}_{\mathbf{5}}}\mathbf{6}}{\mathbf{lo}{{\mathbf{g}}_{\mathbf{5}}}\mathbf{2+1}}\mathbf{=}\]

    A)  \[lo{{g}_{2}}6\]                      

    B)  \[lo{{g}_{2}}5\]           

    C)  \[lo{{g}_{10}}6\]

    D)  \[lo{{g}_{10}}30\]

    Correct Answer: C

    Solution :

    (c): \[\frac{{{\log }_{5}}6}{{{\log }_{5}}2+1}=\frac{{{\log }_{5}}6}{{{\log }_{5}}2+{{\log }_{5}}5}=\frac{{{\log }_{5}}6}{{{\log }_{5}}(2\times 5)}\] \[=\frac{{{\log }_{5}}6}{{{\log }_{5}}10}={{\log }_{10}}6.\]

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