exponential or multiplicative scale of increase

logarithm

noun|/ˈlɔ.ɡə.rɪ.ðəm/

A mathematical function representing exponential relationships, often used to describe scale

Examples

In a meeting

User growth is following a logarithmic curve as we approach market saturation.

Over coffee

The difficulty increases on a logarithmic scale—each level is way harder than the last.

Why this word

exponent

Logarithm is the inverse operation of exponentiation (finding what power produces a number), while exponent is the power itself

power

Logarithm finds the power needed to produce a number, while power is the result of raising a base to an exponent

calculation

Logarithm is a specific mathematical function relating to powers, while calculation is any general mathematical computation

Usage tip

Use when describing growth or change that accelerates or decelerates exponentially. Shows mathematical sophistication but ensure your audience understands the concept.

Etymology

Greek — 'logos' (ratio, word) + 'arithmos' (number); coined by John Napier in 1614

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