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Natural Logarithm (Napierian) Course

Natural Logarithm (Napierian) Course
4 to 360 hours 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, interpreting values greater or less than 1, its inverse relationship with e^x, key properties, and the constant e via proofs, examples, and approximations. Learn to articulate graphs and computations in clear, structured writing.

Elevify advantages

Develop skills

  • Master ln–exp inverses: solve e^x=a and ln(x)=b confidently.
  • Explain ln(x) as continuous growth with clear interpretations.
  • Describe ln(x) graphs: asymptotes, shape, domain, range.
  • Apply ln rules for products, quotients, powers to simplify.
  • Approximate e and ln using limits, series, 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.
Workload: between 4 and 360 hours

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Really great course. Lots of valuable information.
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