Natural Logarithm and Exponential Course
Dive into e^x and ln(x) from basics to advanced calculus applications. Validate identities through numbers and graphs, master inverse properties, prove essential theorems, solve exponential and log equations confidently, and apply them effectively in mathematical modelling scenarios.

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