6. Logarithmic and exponential functions
- Syllabus
- 0606–2028–2029
- Topic
- 6
- Level
- —
6.1. Use logarithmic and exponential graphs
- Know and use simple properties and graphs of logarithmic and exponential functions, including ln x and e^x.
- Understand that f(x) = e^x and g(x) = ln x are inverse functions.
- Understand the asymptotic nature of logarithmic and exponential graphs and state equations of asymptotes.
- Graphs are limited to y = ke^(nx) + a and y = k ln(ax + b), where n, k, a and b are integers.
- Series expansions are not required.
6.2. Use laws of logarithms
- Know and use the laws of logarithms, including change of base of logarithms.
- Combine logarithmic expressions and convert logarithms between bases, including natural logarithms.
6.3. Solve exponential equations
- Solve equations of the form a^x = b.
Objective notes
3 learning objectivesConceptIGCSE Additional Math