9th Class Mathematics Related to Competitive Exam Question Bank Logarithms

  • question_answer
    What is the value of\[\mathbf{2}\,\mathbf{log}(\mathbf{5}/\mathbf{8})+\mathbf{log}\left( \mathbf{l28}/\mathbf{125} \right)+\mathbf{log}\left( \mathbf{5}/\mathbf{2} \right)\]?

    A)  0       

    B)  -1             

    C)  2                                

    D)  5

    Correct Answer: A

    Solution :

    (a): \[2log\left( \frac{5}{8} \right)+log\left( \frac{128}{125} \right)+log\left( \frac{5}{2} \right)\] \[=log{{\left( \frac{5}{8} \right)}^{2}}+log\left( \frac{128}{125} \right)+log\left( \frac{5}{2} \right)\] \[=\log \frac{{{5}^{2}}\times 128\times 5}{{{8}^{2}}\times 125\times 2}\] \[=log\,1=0\]                


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