natural logarithm
Base-e inverse function
The natural logarithm is a logarithm with the mathematical constant *e* (approximately 2.718) as its base.
It answers the question: to what power must *e* be raised to produce a given number?
Written as ln or logₑ, it appears throughout mathematics, physics, and engineering because *e* emerges naturally in processes involving continuous growth or decay: the natural logarithm of 1 is 0, the natural logarithm of e is 1.
Logarithm base e
- eFifth alphabetic character
- baseSupporting bottom structure
- NapierNew Zealand coastal city
- inverseOpposite in position
exponential function · transcendental · irrational · constant · exponentiation · identity · mathematics · algebra
Function's rate of change
- integrationCombining into a whole
- differentiationRecognizing meaningful differences
- antiderivativeReverse of differentiation
- chain ruleComposite function derivative method
limits · function · integral · tangent · slope · rate of change · inflection · critical point
Period for fifty-percent reduction
- radioactiveEmitting nuclear decay particles
- exponential decayProportional decrease over time
- carbon-14Radioactive isotope for dating
- datingPursuing romantic connections
isotopes · radiometric · archaeology · geology · fossils · uranium-lead · potassium-argon
Quantity multiplying proportionally over time
- compound interestReturns on reinvested earnings
- populationAll inhabitants combined
- doubling timeTime to grow twofold
- rateMeasured speed or charge
investment · proliferation · accumulation · amplification · multiplication · progression · modeling
Process of approaching sameness
- seriesOrdered set of related items
- sequenceOrdered succession of elements
- limitsImposed maximum points
- continuityUninterrupted progression or coherence
real numbers · infinity · smooth · analytic · divergence
ln
Logarithm base e
inverse · exponential function · transcendental · irrational · constant · exponentiation · identity · mathematics · algebra · notation
derivative
Function's rate of change
- integrationCombining into a whole
- differentiationRecognizing meaningful differences
- antiderivativeReverse of differentiation
chain rule · limits · function · integral · tangent · slope · rate of change · inflection · critical point · concavity
half-life
Period for fifty-percent reduction
- radioactiveEmitting nuclear decay particles
- exponential decayProportional decrease over time
- carbon-14Radioactive isotope for dating
dating · isotopes · radiometric · archaeology · geology · fossils · uranium-lead · potassium-argon
exponential growth
Quantity multiplying proportionally over time
- compound interestReturns on reinvested earnings
- populationAll inhabitants combined
- doubling timeTime to grow twofold
rate · investment · proliferation · accumulation · amplification · multiplication · progression · modeling
convergence
Process of approaching sameness
- seriesOrdered set of related items
- sequenceOrdered succession of elements
- limitsImposed maximum points
continuity · real numbers · infinity · smooth · analytic · divergence
- Logarithmslog, ln, log scale, antilog, mantissa
- math functionssine, abs, cosine, add, tangent
- EulerEuler line, Euler's formula
- exponentsexponent, exponential function, exponential growth, exponential decay, e
natural, unnatural, supernatural, naturals, logarithm, logarithmic, logarithms, antilogarithm, antilogarithms