WAEC Mathematics 2015 Objective — Question 4
Question 4 of 50 from the West African Examinations Council (WAEC) Mathematics 2015 Objective paper, with the correct answer and a full explanation.
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If (27ˣ×3¹⁻ˣ)/9²ˣ = 1, find the value of x.
- A. 1
- B. ½Correct
- C. -½
- D. -1
Explanation
Expressing all terms in base 3: 3^(3x)×3^(1-x) = 3^(4x), giving 3^(3x+1-x)=3^(4x), so 2x+1=4x, thus x=½.
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