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

If 3^{x}-3^{x-1}-18 then find the value of x^{x}?

(a) 27

(b) 29

(c) 30

(d) 32

**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.