Find the value of x for which (32_{four} = 22_x)  

Correct Answer: Option C

Explanation

(32_4 = 22_x)

(3 times 4^1 + 2 times 4^o) = (2 times x^1 + 2 times x^o)

12 + 2 x 1 = 2x + 2 x 1

14 = 2x + 2

14 – 2 = 2x

12 = 2x

x = (frac{12}{2})

x = 6