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WAEC Further Mathematics questions: Surds, indices and logarithms

16 questions with answers and explanations. Tap an option to check yourself.

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All topicsCoordinate geometry and conic sections · 16Differentiation · 18Dynamics · 15Functions and rational functions · 15Integration · 16Matrices and determinants · 16Permutations and combinations · 15Polynomials and the remainder theorem · 16Probability · 16Sequences and series · 16Sets, binary operations and logic · 16Statics · 14Statistics · 15Surds, indices and logarithms · 16The binomial theorem · 15Trigonometry · 16Vectors · 16

  4. Question 4· Surds, indices and logarithms· WAEC

    Solve log₄ x = 3/2.

    Explanation and discussion

  5. Question 5· Surds, indices and logarithms· WAEC

    Solve the equation 2²ˣ − 5(2ˣ) + 4 = 0.

    Explanation and discussion

  8. Question 8· Surds, indices and logarithms· WAEC

    Given that log₂3 = 1.585, find log₂12.

    Explanation and discussion

  9. Question 9· Surds, indices and logarithms· WAEC

    Rationalise 1/(√5 − 2).

    Explanation and discussion

  10. Question 10· Surds, indices and logarithms· WAEC

    If log 2 = 0.3010, then log 8 is

    Explanation and discussion

  11. Question 11· Surds, indices and logarithms· WAEC

    If log₁₀ x = 2.5, find x correct to one decimal place.

    Explanation and discussion

  12. Question 12· Surds, indices and logarithms· WAEC

    Simplify log₂ 8 + log₂ 4 − log₂ 16.

    Explanation and discussion

  13. Question 13· Surds, indices and logarithms· WAEC

    Express 1/(2 − √3) in the form a + b√3.

    Explanation and discussion

  14. Question 14· Surds, indices and logarithms· WAEC

    Express (√3 + 1)/(√3 − 1) in the form a + b√3.

    Explanation and discussion

  15. Question 15· Surds, indices and logarithms· WAEC

    Simplify (√5 + √3)(√5 − √3).

    Explanation and discussion

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