9th Class Mathematics Related to Competitive Exam Question Bank Logarithms

  • question_answer
    \[{{\log }_{2}}1.\,{{\log }_{3}}2.\,{{\log }_{4}}3\,.\,lo{{g}_{5}}4\,.\,lo{{g}_{6}}5....{{\log }_{100}}99\]\[=\_\_\_\_\_.\]

    A)  \[\infty \]                                  

    B)  0

    C)  1                                

    D)  Cannot be determined

    Correct Answer: B

    Solution :

    (b): As \[lo{{g}_{2}}1=0,lo{{g}_{2}}1.lo{{g}_{3}}2.1o{{g}_{4}}3....1o{{g}_{99}}100=0\]


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