Natural Logarithm (Napierian) Course
Gain mastery in natural logarithm through straightforward proofs, growth interpretations, and inverse relationships with e^x. Develop strong skills in solving equations, graph analysis, property applications, approximations, and clear communication of logarithmic concepts for advanced maths.

from 4 to 360h flexible workload
valid certificate in your country
What will I learn?
This course on natural logarithm (Napierian) builds solid understanding of ln(x), covering continuous growth, decay, values over and under 1, its inverse with e^x, key properties, and constant e via proofs, examples, and approximations. You will learn to explain graphs and computations clearly in writing.
Elevify advantages
Develop skills
- Master ln and exp inverses: solve e^x = a and ln(x) = b accurately.
- Explain ln(x) for continuous growth and decay intuitively.
- Describe ln(x) graphs: asymptotes, shape, domain, range clearly.
- Apply ln rules for products, quotients, powers to simplify expressions.
- Approximate e and ln values using limits, series, numeric methods.
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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