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

Assessment: WAEC SSCE - General Mathematics - 2018 (Objective) Subject: General Mathematics

Question 1 Report

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

 

Answer Details
In this question, we are asked to find the value of x for which \(32_{four} = 22_x\). We know that \(32_{four}\) means 3 fours plus 2 ones, which is equal to 14 in the decimal system. So, we have: $$14_{10} = 2\times x^1 + 2\times x^0 = 2x+2$$ Now we can solve for x: $$14_{10} = 2x+2$$ $$12_{10} = 2x$$ $$x = 6_{10}$$ Therefore, \(32_{four} = 22_6\) and the value of x is 6.

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