WAEC (WASSCE) Mathematics · Number and Numeration

Logarithms: WAEC Mathematics Past Questions and Answers

What the WAEC syllabus covers in Logarithms

Our summary: Logarithms as the reverse of powers, and using their rules to simplify calculations.

  • Relationship between indices and logarithms, e.g. y=10ky = 10^k implies log⁡10y=k\log_{10} y = k
  • Basic rules of logarithms e.g. log⁡10(pq)=log⁡10p+log⁡10q\log_{10}(pq) = \log_{10}p + \log_{10}q, log⁡10(p/q)=log⁡10p−log⁡10q\log_{10}(p/q) = \log_{10}p - \log_{10}q, log⁡10pn=nlog⁡10p\log_{10}p^n = n\log_{10}p
  • Use of tables of logarithms and anti-logarithms

Syllabus content © The West African Examinations Council (WASSCE (harmonised West African syllabus)).

WAEC (WASSCE) Mathematics questions on Logarithms

  1. WAEC 2024If log 3^ 2x - 1 = 5, find the value of x
  2. WAEC 2024Express in index form: log a^x + log a^y = 3
  3. WAEC 2023Solve: log 3 x + log 3 (x - 8) = 2
  4. WAEC 2023If log a 3 = m and log a 5 = p, find log a 75
  5. WAEC 2022Given that log 3 27 = 2x + 1, find the value of x.
  6. WAEC 2021If log 10 2 = m and log 10 3 = n, find log 10 24 in terms of m and n.
  7. WAEC 2020Express 1 + 2 log10 ^3 in the form log10 ^9
  8. WAEC 2019Simplify: 10 6 - 3 log 10 3 + 2/3 10 27
  9. WAEC 2019If log x 2 = 0.3, evaluate log x 8.
  10. WAEC 2018If 10 (6x - 4) - 10 2 = 1, solve for x.
  11. WAEC 2017Given that a = log 7 and b = 2, express log 35 in terms of a and b.
  12. WAEC 2016If log2(3x - 1) = 5, find x.
  13. WAEC 2015Given that logx 64 = 3, evaluate x log 2 8
  14. WAEC 2014If log 5.957 = 0.7750, find log 3 √0.0005957
  15. WAEC 2013If 2 log x (3 3/8 ) = 6, find the value of x
  16. WAEC 2012Which of these statements about y = √8m is correct?
  17. WAEC 2011Simplify √27 √81

Years with Logarithms questions in DeeepSolve's question bank

From the past questions DeeepSolve holds, not a count of everything the exam body has set.

  • 2024
  • 2023
  • 2022
  • 2021
  • 2020
  • 2019
  • 2018
  • 2017
  • 2016
  • 2015
  • 2014
  • 2013
  • 2012
  • 2011