Natural Logarithm (Napierian) Course
This course provides a solid foundation in natural logarithms, covering continuous growth and decay, inverse relationships with exponential functions, key properties, and the constant e. Through proofs, examples, and approximations, learners gain skills to solve equations, analyze graphs, simplify expressions, and explain logarithmic concepts clearly for advanced math applications.

from 4 to 360h flexible workload
valid certificate in your country
What will I learn?
Explore natural logarithms ln(x) in this course, learning continuous growth, decay, values around 1, inverse ties to e^x, properties, and e constant via proofs, examples, and approximations. Develop precise verbal descriptions of graphs and calculations.
Elevify advantages
Develop skills
- Master ln–exp inverses: solve e^x=a and ln(x)=b with confident rigor.
- Explain ln(x) as continuous growth: give clear, intuitive interpretations fast.
- Analyze 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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