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SSC Sample Paper SSC CGL - Sample Paper-27

  • question_answer
    If \[{{3}^{x}}\times 27={{9}^{x+4}},\] then what is x equal to?

    A) 4                     

    B) 5

    C) 6                                 

    D) 7

    Correct Answer: A

    Solution :

    Given, \[{{3}^{x}}\times 27={{9}^{x\,+\,4}}\] \[\therefore \]      \[{{3}^{x}}\times {{3}^{3x}}={{3}^{2(x\,+\,4)}}\] On comparing, \[x+3x=2(x+4)\] \[\Rightarrow \]   \[4x-2x=8\] \[\Rightarrow \]   \[x=\frac{8}{2}=4\]     


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