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
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Convert the base-four number to base-ten: \(32_{four} = (3 \times 4^1) + (2 \times 4^0) = 12 + 2 = 14\)
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Convert the base-x number to base-ten: \(22_x = (2 \times x^1) + (2 \times x^0) = 2x + 2\)
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Set the base-ten equivalents equal to each other and solve for x: \(14 = 2x + 2\) \(12 = 2x\) \(x = 6\)
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