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7th Class Mental Ability Algebraic Expressions Question Bank Algebra

  • question_answer
    Find the value of x, if\[{{\mathbf{(}\sqrt{\mathbf{6}}\mathbf{)}}^{\mathbf{x-2}}}\mathbf{=1}\].

    A) 1               

    B)                           2

    C) 3               

    D)                           4

    E) None of these

    Correct Answer: B

    Solution :

    Explanation We can write the given expression as, \[{{\left( \sqrt{6} \right)}^{x\,-\,2}}={{\left( \sqrt{6} \right)}^{0}}\]  [\[\therefore  \,\,{{a}^{0}}= 1\] where a is any number except zero] \[\Rightarrow \,\,\,x-2=0\] \[\Rightarrow \,\,\,x=2\]


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