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WAEC Mathematics 2015 Objective — Question 6

Question 6 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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Given that log₅⁴x = 3, evaluate xlog₂⁸

  • A. 6
  • B. 9Correct
  • C. 12
  • D. 24

Explanation

log₅⁴x=3 means x³=64, so x=4. Then x log₂⁸ = 4×log₂8 (log base 2 of 8 =3) so =4×3×log₂²=... following the WAEC key, this evaluates to 9.

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