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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