Question on: WAEC Mathematics - 2018
Find the value of x for which \(32_{four} = 22_x\)
A
three
B
five
C
six
D
seven
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Correct Option: C
1. Convert the base-four number to base-ten:
\\(32\_{four} = (3 \times 4^1) + (2 \times 4^0) = 12 + 2 = 14\\)
2. Convert the base-x number to base-ten:
\\(22\_x = (2 \times x^1) + (2 \times x^0) = 2x + 2\\)
3. Set the base-ten equivalents equal to each other and solve for x:
\\(14 = 2x + 2\\)
\\(12 = 2x\\)
\\(x = 6\\)
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