WAEC Mathematics 2023 Objective — Question 6
Question 6 of 50 from the West African Examinations Council (WAEC) Mathematics 2023 Objective paper, with the correct answer and a full explanation.
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Solve log₂³+log₂^(x-8)=2.
- A. 6
- B. 7
- C. 8
- D. 9Correct
Explanation
log₃x+log₃^(x-8)=2 → log₃[x(x-8)]=2 → x(x-8)=3²=9 → x²-8x-9=0 → (x-9)(x+1)=0 → x=9 or x=-1; taking the positive root, x=9.
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