WAEC Mathematics 2017 Theory — Question 1

Question 1 of 25 from the West African Examinations Council (WAEC) Mathematics 2017 Theory paper, with the correct answer and a full explanation.

1(a) If (y-1)log10^4 = y log10^16, without using Mathematical tables or calculator, find the value of y.

Model answer

(y-1)log(4) = y log(16). log(4^(y-1)) = log(16^y). 4^(y-1)=16^y=(4^2)^y=4^(2y). So y-1=2y, giving -1=y, i.e. y=-1.

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