9th Class Mathematics Related to Competitive Exam Question Bank Logarithms

  • question_answer
    What is the value of \[{{[lo{{g}_{10}}(5lo{{g}_{10}}100)]}^{2}}_{b}\]

    A)  4                    

    B)  3             

    C)  2                                

    D)  1

    Correct Answer: D

    Solution :

    (d): \[{{\left[ lo{{g}_{10}}(51o{{g}_{10}}100) \right]}^{2}}={{\left[ lo{{g}_{10}}(5lo{{g}_{10}}{{10}^{2}}) \right]}^{2}}\text{ }\] =\[{{\left[ lo{{g}_{10}}(10lo{{g}_{10}}10) \right]}^{2}}\] \[={{\left[ {{\log }_{10}}10 \right]}^{2}}(\therefore lo{{g}_{10}}10=1)\] \[={{1}^{2}}=1\]


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