ln(1)
- Input
- x=1
- Expected output
- ln(1) = 0
e⁰ = 1.
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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.
e⁰ = 1.
e¹ = e.
log_b(x) = y means b^y = x, so a logarithm is simply an exponent, the power the base must be raised to. It is the inverse operation of exponentiation. For example, log₂(8) = 3 because 2³ = 8, and log₁₀(100) = 2 because 10² = 100.
No. ln uses base e; log usually uses base 10. Relation: log₁₀(x) = ln(x) / ln(10) ≈ ln(x) / 2.3026.
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.
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