Natural Logarithm (Napierian) Course
Gain mastery over the natural logarithm through clear proofs, intuitive explanations of growth and decay, and deep insights into its inverse with e^x. Develop strong skills in solving equations, analysing graphs, applying logarithm rules, approximating values, and articulating concepts precisely for advanced maths applications.

from 4 to 360h flexible workload
valid certificate in your country
What will I learn?
This course provides a solid 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. It includes proofs, numerical examples, approximations, and skills for describing graphs and calculations clearly in writing.
Elevify advantages
Develop skills
- Master inverse relationships between ln and exp functions to solve equations confidently.
- Explain natural log as continuous growth and decay with intuitive clarity.
- Describe ln(x) graphs including asymptotes, shape, domain, and range accurately.
- Apply logarithm rules like ln(ab), ln(a/b), and power rules to simplify expressions.
- Approximate values of e and ln using limits, series, and numerical techniques.
Suggested summary
Before starting, you can change the chapters and 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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