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  3. CEE Kerala Engineering

CEE Kerala Engineering CEE Kerala Engineering Solved Paper-2006

  • question_answer
    The value of\[lo{{g}_{2}}lo{{g}_{2}}lo{{g}_{4}}256+2lo{{g}_{\sqrt{2}}}2\]is:

    A)  1                                            

    B)  2

    C)  3                            

    D)         4

    E)  5

    Correct Answer: E

    Solution :

    \[{{\log }_{2}}{{\log }_{2}}{{\log }_{4}}256+2{{\log }_{\sqrt{2}}}2\] \[=lo{{g}_{2}}\text{ }lo{{g}_{2}}\text{ }lo{{g}_{4}}{{(4)}^{4}}+2\frac{1}{{{\log }_{2}}\sqrt{2}}\] \[={{\log }_{2}}{{\log }_{2}}4+\frac{4}{{{\log }_{2}}2}\] \[={{\log }_{2}}2+4=1+4=5\]


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