8th Class Mathematics Logarithms Question Bank Logarithms

  • question_answer The value of \[\left( \frac{\mathbf{1}}{\mathbf{lo}{{\mathbf{g}}_{\mathbf{3}}}\mathbf{60}}\mathbf{+}\frac{\mathbf{1}}{\mathbf{lo}{{\mathbf{g}}_{\mathbf{4}}}\mathbf{60}}\mathbf{+}\frac{\mathbf{1}}{\mathbf{lo}{{\mathbf{g}}_{\mathbf{5}}}\mathbf{60}} \right)\]is:

    A)  0                                

    B)  1 

    C)  5                                

    D)  60

    Correct Answer: B

    Solution :

    (b): Given expression \[=lo{{g}_{60}}3+lo{{g}_{60}}4+lo{{g}_{60}}5\] \[=lo{{g}_{60}}(3\times 4\times 5)=lo{{g}_{60}}60=1.\]

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