Natural Logarithm (Napierian) Course
This course delivers mastery of the natural logarithm through rigorous proofs, intuitive explanations of growth and decay, and deep insights into its inverse with e^x. Develop precise skills in solving equations, simplifying expressions, graphing analysis, approximations, and communicating logarithmic concepts effectively for advanced maths.

4 to 360 hours of flexible workload
certificate valid in your country
What Will I Learn?
Gain a solid, practical understanding of the natural logarithm ln(x), covering continuous growth and decay, interpreting values greater and less than 1, its inverse relationship with e^x, key properties, and the constant e via proofs, examples, and approximations. Learn to articulate graphs and computations clearly in writing.
Elevify Advantages
Develop Skills
- Master ln-exp inverses: solve e^x = a and ln(x) = b confidently.
- Explain ln(x) for continuous growth with clear intuition.
- Describe ln(x) graphs: asymptotes, shape, domain, range.
- Apply ln rules for products, quotients, powers to simplify.
- Approximate e and ln using limits, series, numerics.
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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