9th Class Mathematics Related to Competitive Exam Question Bank Logarithms

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

    A)  2                      

    B)  3             

    C)  1  

    D)  0

    Correct Answer: C

    Solution :

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


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