Natural Logarithm (Napierian) Course
Master the natural logarithm through clear proofs, intuitive growth interpretations, and insights into its inverse relationship with e^x. Develop rigorous skills for solving equations, analysing functions, and communicating logarithmic behaviour in advanced mathematics.

4 to 360 hours flexible workload
valid certificate in your country
What will I learn?
This Natural Logarithm (Napierian) Course provides a clear, practical understanding of ln(x), covering continuous growth and decay, interpreting values above and below 1, its inverse relationship with e^x, core properties, and the constant e via proofs, numeric examples, and simple approximations. It also equips you to describe graphs and calculations in precise, well-structured written explanations.
Elevify advantages
Develop skills
- Master ln–exp inverses: solve e^x=a and ln(x)=b with confident rigour.
- Explain ln(x) as continuous growth: give clear, intuitive interpretations swiftly.
- Analyse ln(x) graphs verbally: describe asymptotes, shape, domain, and range.
- Use ln rules ln(ab), ln(a/b), a^k: simplify expressions with precise steps.
- Approximate e and ln values: apply limits, series, and quick numeric methods.
Suggested summary
Before starting, you can change the chapters and the workload. Choose which chapter to start with. Add or remove chapters. Increase or decrease the course workload.What our students say
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