SSC Sample Paper Mock Test-14 SSC CGL Tear-II Paper-1

  • question_answer
    The value of x in \[{{\log }_{x}}4+{{\log }_{x}}16+{{\log }_{x}}64=12\] is

    A) 1

    B)  2   

    C)  3

    D)  4

    Correct Answer: B

    Solution :

      \[{{\operatorname{logl}}_{x}}4+{{\log }_{x}}16+{{\log }_{x}}64=12\] \[{{\log }_{x}}{{2}^{2}}+{{\log }_{x}}{{2}^{4}}+{{\log }_{x}}{{2}^{6}}=12\] \[2{{\log }_{x}}2+4{{\log }_{x}}2+6{{\log }_{x}}2=12\] \[\Rightarrow \]               \[12{{\log }_{x}}2=12\] \[\Rightarrow \]   \[{{\log }_{x}}2=1\]\[\Rightarrow \]\[x=2\]


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