Railways Sample Paper RRBs Assistant Loco Pilot and Technician CBT STAGE-I Sample Paper-6

  • question_answer
    If \[{{4}^{x}}=\sqrt{{{2}^{3y}}\,,}\]then

    A)  \[x=\frac{3}{4}y\]       

    B)  \[y=\frac{3}{4}x\]

    C)  \[x=\,3y\]        

    D)  \[x=\,\frac{1}{3}y\]

    Correct Answer: A

    Solution :

    \[\because \]       \[{{4}^{x}}=\sqrt{{{2}^{3y}}}\] \[\Rightarrow \]   \[{{({{2}^{2}})}^{x}}={{({{2}^{3y}})}^{1/2}}\] \[\Rightarrow \]   \[2x=\frac{3}{2}y\,\,\,\,\,\Rightarrow x=\frac{3}{4}y\]


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