01 / QUICK RECAP
Connect the ideas.
- A logarithm is an exponent; its input is positive, but its value may be negative.
- Combine logs only with valid laws and retain original domain restrictions.
- Use exact logarithmic answers before rounding a final numerical result.
- Sketch from a domain, asymptote and exact anchor points.
- Differentiate a logarithm of an input using the chain rule.
- Interpret model parameters, units and limitations; log-scale changes describe ratios.
02 / PRACTICE TESTS
Put it together.
Choose a paper and show your working.
Logarithmic functions — Practice test 1
A balanced paper moving from inverse relationships to equations, graphs, derivatives and applications.
10 questions · 50 marks · 70 minutes · Scientific calculatorLogarithmic functions — Practice test 2
Emphasis on domains, reflected graphs, exact solutions and logarithmic rates.
10 questions · 54 marks · 70 minutes · Scientific calculatorLogarithmic functions — Practice test 3
A mixed paper connecting inverse functions, differentiation and supplied mathematical models.
10 questions · 56 marks · 70 minutes · Scientific calculatorLogarithmic functions — Practice test 4
Reasoning about domains, parameters, inverse graphs and an optimisation model.
10 questions · 54 marks · 70 minutes · Scientific calculatorLogarithmic functions — Practice test 5
Data interpretation, parameter fitting and checking claims about logarithmic models.
10 questions · 57 marks · 70 minutes · Technology-assistedLogarithmic functions — Practice test 6
A more demanding paper combining precise domains, parameter choices and mathematical reasoning.
10 questions · 61 marks · 70 minutes · Technology-assisted
Curriculum reference & lesson scope
SACE Board of South Australia
Stage 2 Mathematical Methods: logarithmic functions and their applications; reciprocal-linear antiderivatives are taught in the Integration chapter.
Official curriculum source ↗