Natural Logarithm (Napierian) Course
This course delivers a thorough mastery of the natural logarithm ln(x), featuring straightforward proofs, intuitive explanations of growth and decay, and deep insights into its inverse connection with e^x. Participants develop precise skills for equation solving, function analysis, graph description, property application, and clear communication of logarithmic concepts in advanced maths, equipping them for real-world problem-solving and further studies.

from 4 to 360h flexible workload
valid certificate in your country
What will I learn?
Gain a solid, hands-on understanding of the natural logarithm ln(x), covering continuous growth and decay models, interpreting values greater and less than 1, its inverse relationship with e^x, essential properties, and the base e via proofs, numerical examples, and easy approximations. Learn to articulate graphs and computations in clear, structured english explanations.
Elevify advantages
Develop skills
- Master ln and exp inverses: confidently solve e^x = a and ln(x) = b with rigorous steps.
- Explain ln(x) for continuous growth: provide quick, intuitive interpretations.
- Describe ln(x) graphs in words: cover asymptotes, shape, domain, and range accurately.
- Apply ln rules like ln(ab), ln(a/b), ln(a^k): simplify expressions step by step.
- Approximate e and ln values: use limits, series, and simple numeric techniques.
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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