natural log
Logarithm using e
Natural log is the logarithm with base *e* (approximately 2.718), written ln.
It answers the question: to what power must *e* be raised to produce this number?
The natural log appears throughout mathematics, physics, and engineering because *e* arises naturally in processes involving continuous growth or decay: The natural log of 1 is 0.
Often shortened to "natural log" in speech even when written as ln.
Fifth alphabetic character
- inverse functionFunction undoing another function
- exponentiationRaising to a power
- expShorthand for power function
- transcendentalBeyond ordinary experience
irrational · exponential function · ln · logarithmic scale · monotonic · asymptote · domain · range
Function's rate of change
- integralAntiderivative or crucial component
- differentiationRecognizing meaningful differences
- antiderivativeReverse of differentiation
- chain ruleComposite function derivative method
u-substitution · slope · tangent · rate of change · inflection point · concavity · limit · convergence
Returns on reinvested earnings
- continuous growthOngoing increase over time
- population growthIncrease in inhabitants over time
- doubling timeTime to grow twofold
- growth rateSpeed of increase
bacterial growth · exponential growth · carrying capacity · growth curve · scaling · accumulation · growth model · economic growth
Period for fifty-percent reduction
- radioactive decayUnstable atoms releasing energy
- exponential decayProportional decrease over time
- carbon datingIsotope-based age measurement
- isotopeElemental variant by mass
radiometric dating · decay rate · atmospheric pressure · pharmacokinetics · carbon-14
Derivative of multiplied functions
- simplificationMaking something less complex
- cancellationVoiding of plans
e
Fifth alphabetic character
- inverse functionFunction undoing another function
- exponentiationRaising to a power
- expShorthand for power function
transcendental · irrational · exponential function · ln · logarithmic scale · monotonic · asymptote · domain · range · one-to-one
derivative
Function's rate of change
- integralAntiderivative or crucial component
- differentiationRecognizing meaningful differences
- antiderivativeReverse of differentiation
chain rule · u-substitution · slope · tangent · rate of change · inflection point · concavity · limit · convergence · differential equation
compound interest
Returns on reinvested earnings
- continuous growthOngoing increase over time
- population growthIncrease in inhabitants over time
- doubling timeTime to grow twofold
growth rate · bacterial growth · exponential growth · carrying capacity · growth curve · scaling · accumulation · growth model · economic growth
half-life
Period for fifty-percent reduction
- radioactive decayUnstable atoms releasing energy
- exponential decayProportional decrease over time
- carbon datingIsotope-based age measurement
isotope · radiometric dating · decay rate · atmospheric pressure · pharmacokinetics · carbon-14
product rule
Derivative of multiplied functions
- simplificationMaking something less complex
- cancellationVoiding of plans
- increasing functionsexponential functions
- inverse functionsarcsin, arccos, arctan, arcsine, arccosine
- Logarithmsln, logarithmic scale, antilog, mantissa, characteristic
- Calculatorspocket calculator, scientific calculator, graphing calculator, basic calculator, desk calculator
- math symbolsplus, minus, equals, divide, multiply
- exponentsexponent, exponential function, exponential growth, exponential decay, e
natural logexponential function
Output multiplies by fixed ratio
exp · antilogarithm · antilog
natural, log, unnatural, supernatural, naturalness, naturalist, naturalistic, naturalism, logarithm