Find the value of x for which \(32_{four} = 22_x\)
A
three
B
five
C
six
D
seven
Verified Correct Answer: C.
Step-by-Step Mathematical Solution
\(32_4 = 22_x\)
\(3 \times 4^1 + 2 \times 4^o\) = \(2 \times x^1 + 2 \times x^o\)
12 + 2 x 1 = 2x + 2 x 1
14 = 2x + 2
14 - 2 = 2x
12 = 2x
x = \(\frac{12}{2}\)
x = 6
Source: Myschool Past Questions Archive (Record #49044)