The natural log, often written as ln(x), is the logarithm with base e, where e is an irrational constant approximately equal to 2.718. It answers the question: “To what power must e be raised to get x?” Natural logs are widely used in mathematics, statistics, and the natural sciences because they naturally model exponential growth, exponential decay, and continuous change. Statisticians often use it to transform the response variable in regression analysis to improve the properties of the residuals.
For example, in finance, the natural log can be used to calculate continuously compounded returns on investments over time.
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