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WAEC Mathematics 2019 Objective — Question 7

Question 7 of 145 from the West African Examinations Council (WAEC) Mathematics 2019 Objective paper, with the correct answer and a full explanation.

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7. Evaluate (log₉₃ − log₈₃)/log₉₃.

  • A. -1/3
  • B. 1/2
  • C. 3/2
  • D. -1/2Correct

Explanation

(log₃³ − log₂³)/log₃⁹ = (2log₃−3log₂)/(2log₃) [using logₓₓ=1]. Substituting and simplifying gives (2×1−3)/2 = −1/2.

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