If (√3)^5 x 9² = 3^n x 3√3, then value of n-

(a) n = 3
(b) n = 4
(c) n = 5
(d) None

Anurag Mishra Professor Asked on 8th March 2016 in Maths.
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  • 1 Answer(s)

    Answer: (c) n = 5

    Solution:-
     (√3)^5 x 9^2 = 3^n x 3√3
    (3)^5/2 x 3^4 = 3^n x 3^(1 + 1/2)
    (3)^(5/2 + 4) = 3^3/2 x 3^n 
    (3)^13/2 = 3^n x 3^3/2
    3^n = 3^(13/2 – 3/2) 
    3^n = 3^10/2
    3^n = 3^5
    Comparing on both side, 
    n = 5 

    Then, the value of n is 5. 

    Hence, the correct answer is option (c) n = 5. 

    Anurag Mishra Professor Answered on 8th March 2016.
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