ln(1)
- Input
- x=1
- Expected output
- ln(1) = 0
e⁰ = 1.
calculate natural logarithm ln
Calculate Natural Logarithm (ln)
ln(x) is the logarithm in base e ≈ 2.71828. It is the inverse of eˣ: eˡⁿ⁽ˣ⁾ = x. Fundamental in calculus and exponential growth.
Notable values of ln
- ln(1) = 0; ln(e) = 1; ln(e²) = 2. For x < 1 (and x > 0): ln(x) < 0. ln grows without bound but very slowly.
Examples
ln(e)
- Input
- x=e
- Expected output
- ln(e) = 1
e¹ = e.
Full tool FAQ
log_b(x) = y means b^y = x. It is the inverse of exponentiation. Example: log₂(8) = 3 because 2³ = 8.
Frequently asked questions
Are ln and log the same?
No. ln uses base e; log usually uses base 10. Relation: log₁₀(x) = ln(x) / ln(10) ≈ ln(x) / 2.3026.
Does this page replace official or professional review?
No. It helps explain the scenario and use the tool more safely, but real decisions should consider official sources, full context and qualified guidance when needed.