E1.1
Logarithms and Exponentials
Understand and apply the relationship between exponential and logarithmic functions; use the natural base e.
Sample questions
- 1.Solve 3e^(2x) = 48, giving the exact answer.
- 2.Simplify log₂(32) − log₂(4).
Exam weighting
2–4 marks.
Common student mistakes
- ·Incorrect log laws — especially log(a) − log(b) ≠ log(a/b) errors
- ·Confusing log base 10 with natural log
E1.2
Applications of Exponentials and Logarithms
Model and solve problems involving exponential growth and decay; use logarithms to linearise data.
Sample questions
- 1.A radioactive substance decays at 8% per year. Find when the amount halves.
Exam weighting
3–5 marks.
Common student mistakes
- ·Using the wrong model (growth instead of decay or vice versa)
- ·Incorrect linearisation — not taking logs of both sides properly
Other Advanced topics
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