If 3^x-3^(x-1)-18 then find the value of x^x?

If 3x-3x-1-18 then find the value of xx?
(a) 27
(b) 29
(c) 30
(d) 32

Anurag Mishra Professor Asked on 29th February 2016 in Maths.
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1 Answer(s)

Answer: (1) 27

Solution:-
3^x – 3^x – 1 = 18
3^x – 3^x/3 = 18
3^x (1 -1/3) = 18
3^x = 18 x 3/2
3^x = 9 x 3
3^x = 3^3
Comparing on both side, 
x = 3

Then, the value of x^x = 3^3 
 = 3 x 3 x 3 
 = 27. 

Hence, the correct answer is option (1) 27. 

Anurag Mishra Professor Answered on 4th March 2016.
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