8th Class Mathematics Logarithms Question Bank Logarithms

  • question_answer What is the value of \[\frac{\mathbf{1}}{\mathbf{2}}\mathbf{lo}{{\mathbf{g}}_{\mathbf{10}}}\mathbf{36-21o}{{\mathbf{g}}_{\mathbf{10}}}\mathbf{3+lo}{{\mathbf{g}}_{\mathbf{10}}}\mathbf{15?}\]

    A)  2                                

    B)  3              

    C)  1

    D)  0

    Correct Answer: C

    Solution :

    (c): \[\frac{1}{2}{{\log }_{10}}36-2lo{{g}_{10}}3+lo{{g}_{10}}15\] \[=lo{{g}_{10}}{{36}^{1/2}}-lo{{g}_{10}}{{3}^{2}}+lo{{g}_{10}}15\] \[=lo{{g}_{10}}6-lo{{g}_{10}}9+lo{{g}_{10}}15\] \[={{\log }_{10}}\frac{6\times 15}{9}={{\log }_{10}}\frac{90}{9}={{\log }_{10}}10=1\]

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