10th Class Mathematics Related to Competitive Exam Question Bank Algebra

  • question_answer
    If \[{{2}^{x}}-{{2}^{x-1}}=4\], then \[{{x}^{x}}\] is equal to

    A)  7                            

    B)         3

    C)  27                           

    D)         None of these

    Correct Answer: C

    Solution :

                    \[{{2}^{x}}-{{2}^{x-1}}=4\] or            \[{{2}^{x-1}}(2-1)=4\] or            \[{{2}^{x-1}}={{2}^{2}}\] or            \[x-2\] or            \[x=2+1=3\] \[\therefore \]  \[{{x}^{x}}={{3}^{3}}=27\]


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