Question 4

waecmaths question: 

Find the value of x for which 32four = 22x

Option A: 

three

Option B: 

five

Option C: 

six

Option D: 

seven

waecmaths solution: 

$\begin{align}  & \text{Convert both sides to decimal system} \\ & \text{3}{{\text{2}}_{four}}={{22}_{x}} \\ & 3\times {{4}^{1}}+2\times {{4}^{0}}=2\times {{x}^{1}}+2\times {{x}^{0}} \\ & 12+2=2x+2 \\ & x=6 \\\end{align}$

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