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Natural Logarithm (Napierian) Course

Natural Logarithm (Napierian) Course
flexible workload from 4 to 360h
valid certificate in your country

What will I learn?

This Natural Logarithm (Napierian) Course provides a clear, practical understanding of ln(x), covering continuous growth and decay, interpreting values above and below 1. Master its inverse relationship with e^x, key properties, and the constant e using proofs, examples, and approximations. Learn to describe graphs and calculations in precise written explanations.

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 workload. Choose which chapter to start with. Add or remove chapters. Increase or decrease the course workload.
Workload: between 4 and 360 hours

What our students say

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Very great course. Lots of valuable information.
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