8th Class Mathematics Logarithms Question Bank Logarithms

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

    A)  4                    

    B)  3             

    C)  2                                

    D)  1

    Correct Answer: D

    Solution :

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

adversite


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