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CET Karnataka Engineering CET - Karnataka Engineering Solved Paper-2001

  • question_answer
    The    roots    of   the    equation \[\log 2({{x}^{2}}-4x+5)=(x-2)\] are:

    A) \[4,5\]                                  

    B)  \[2,-3\]

    C) \[~2,3\]                               

    D) \[3,5\]

    Correct Answer: C

    Solution :

    We have \[{{x}^{2}}-4x+5={{2}^{x-2}}.\]Clearly, \[x=2\]and 3 satisfy this equation.


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