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Maths•SHS Logarithms & Sequences

Logarithms

Senior High 6 questions
AI-drafted from platform data — specialist review scheduledBy DigiTransact Mastermind editorial teamLast updated
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What logarithms means

You use logarithms to find the power needed to make a number from a given base. This helps you work backwards from indices, simplify expressions, and solve exam questions quickly.

What you will practise

  • Find the value of simple logarithms from index form.
  • Use log laws to combine or split expressions.
  • Simplify sums and differences of logs with the same base.
  • Match logarithmic form to the correct power statement.

Before you start

You should be comfortable with indices, powers, and basic multiplication and division. It also helps if you can simplify simple algebraic expressions.

Worked example

One question from this skill's own question bank, shown with its full working.

Question

log₁₀ 100 = ?

  • 1
  • 2
  • 10
  • 100
Answer: 2

Working: 10² = 100, so log₁₀ 100 = 2.

Common mistakes to avoid

  • Confusing the base with the number inside the log. Check which number is raised to a power.
  • Adding logs with different bases as if they were the same. Make sure the base matches before using a log law.
  • Writing the product rule as log a + log b = log(a + b). Use multiplication, not addition.
  • Forgetting that log questions can be answered by rewriting in index form. Always test by turning it back into a power.

Curriculum and exam alignment

Ghana GES SHS syllabusWASSCE

In SHS 1 to SHS 3, this topic normally comes after work on indices and before more advanced algebraic ideas. It supports the kind of reasoning often tested in WASSCE mathematics questions.

Curriculum notes are a general guide to where this work normally sits. Always check the syllabus your school or examination body is currently using.

Related skills

Other SHS Logarithms & Sequences skills in Maths, at the same point in the course.

Other Maths topics

Counting with PicturesPicture Addition & SubtractionEarly NumeracyNumber BasicsSHS Core MathematicsUniversity Mathematics

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Exams that assess logarithms

Senior High work on this skill feeds directly into these exam papers. Each page lists the Maths topics that appear on it.

WASSCEWASSCE practice questionsFree WASSCE practice across the subjects at this stage, with worked answers.GESGES practice questionsFree GES practice across the subjects at this stage, with worked answers.BECEBECE practice questionsListed as a related subject on the BECE practice page.

How this page was produced

This text was drafted with AI assistance from the questions and topics already stored on the platform. A subject-specialist review is scheduled but has not yet been recorded, so we do not claim it here.

Written by
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Practise logarithms

6 questions with a worked answer after every attempt, and a SmartScore that tracks how close you are to mastery.

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