WAEC Mathematics 2019 Objective — Question 15

Question 15 of 145 from the West African Examinations Council (WAEC) Mathematics 2019 Objective paper, with the correct answer and a full explanation.

15. Simplify: log₁₀⁶ − 3log₁₀³ + ⅔log₁₀²⁷.

A. 3log₁₀
B. log₁₀²Correct
C. log₁₀³
D. 2log₁₀³

Explanation

log₁₀⁶−log₁₀³³+log₁₀(27²ᐟ³) = log₁₀⁶−log₁₀²⁷+log₁₀(3³)²ᐟ³ = log₁₀⁶−log₁₀²⁷+log₁₀³² = log₁₀(6×9/27) = log₁₀² (working simplifies to log₁₀², matching option B in the key).

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