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  3. Railways
  4. Quantitative Aptitude
  5. Power, Surds And Indices

Railways Quantitative Aptitude Power, Surds And Indices Sample Paper Surds Indices Sample Test Paper-4

  • question_answer
    If \[{{4}^{\sqrt{x}}}^{^{\sqrt{x}}}=256\] then the value of x is

    A)  2                    

    B)  16        

    C)  4                    

    D)  \[\sqrt{2}\]

    Correct Answer: C

    Solution :

    [c] \[{{4}^{\sqrt{x}}}^{^{\sqrt{x}}}=256={{4}^{4}}\] \[\Rightarrow \] \[{{\sqrt{x}}^{\sqrt{x}}}=4={{2}^{2}}\] \[\Rightarrow \] \[\sqrt{x}=2\] \[\Rightarrow \] \[x=4\]


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