Natural Logarithm and Exponential Course
Dive into e^x and ln(x) from basics to advanced calculus applications. Verify identities with numbers, graph inverses accurately, prove properties step-by-step, and tackle exponential and log equations confidently for real-world maths modelling. Build reliable skills through practice and clear explanations across domains and derivatives.

4 to 360 hours flexible workload
valid certificate in your country
What will I learn?
This course provides a focused, hands-on approach to mastering e^x and ln(x) as inverses. Using numerical verification, calculators, and graphs, you'll confirm identities, grasp domains, sidestep pitfalls, solve equations, link to calculus concepts, and explain steps clearly for sharp problem-solving skills.
Elevify advantages
Develop skills
- Master e^x and ln(x) as inverses: verify, calculate, and analyse rigorously.
- Graph e^x and ln(x) accurately: identify features, asymptotes, and symmetries.
- Solve exp and log equations swiftly with inverse methods.
- Use e^x and ln(x) in calculus: derivatives, integrals, and DEs.
- Deliver precise, step-by-step proofs of exp and log identities.
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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