CET Karnataka Engineering CET - Karnataka Engineering Solved Paper-2000

  • question_answer
    If \[\log x256=8/5,\]then \[x\]is equal to:

    A)  64                                         

    B)  16

    C)  32                                         

    D)  8

    Correct Answer: C

    Solution :

    \[{{\log }_{x}}256=8/5\Rightarrow 256={{x}^{8/5}}\]\[\Rightarrow \]\[{{2}^{8}}={{x}^{8/5}}\Rightarrow {{x}^{1/5}}=2\Rightarrow x={{2}^{5}}\Rightarrow x=32\]


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