8th Class Mathematics Related to Competitive Exam Question Bank Logarithms

  • question_answer
    What is the value of \[\left( \frac{\mathbf{1}}{\mathbf{2}}\mathbf{lo}{{\mathbf{g}}_{\mathbf{10}}}\mathbf{25-2lo}{{\mathbf{g}}_{\mathbf{10}}}\mathbf{4+lo}{{\mathbf{g}}_{\mathbf{10}}}\mathbf{32+lo}{{\mathbf{g}}_{\mathbf{10}}}\mathbf{1} \right)\]?

    A)  0                                

    B)  \[\frac{1}{5}\]             

    C)  1

    D)  \[\frac{2}{5}\]

    Correct Answer: C

    Solution :

    (c): \[\frac{1}{2}lo{{g}_{10}}25-2lo{{g}_{10}}4+lo{{g}_{10}}32+lo{{g}_{10}}1\] \[=\frac{1}{2}{{\log }_{10}}{{(5)}^{2}}-2{{\log }_{10}}{{(2)}^{2}}+{{\log }_{10}}{{(2)}^{5}}+0\]                       


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