What does logarithmically mean?
The adverb logarithmically means in a way that involves logarithms or uses a logarithmic scale. It is especially common in mathematics, science, finance, and data visualization, where quantities may span many orders of magnitude. A logarithmic scale spaces values according to ratios rather than ordinary numerical differences, making patterns visible across ranges that would otherwise be difficult to display. For example, an axis that increases logarithmically can show measurements from one unit to one million units without allowing the smaller values to become compressed into insignificance. The word is closely related to the adjective logarithmic and the noun logarithm. Its use is generally formal and technical, but the underlying idea is broadly useful: logarithmic relationships reveal proportional patterns that a linear scale may conceal. In short, using a quantity logarithmically can make multiplicative change easier to examine and communicate.
adverbIn or according to a logarithmic scale, or in a way involving logarithms. It describes relationships or changes that are expressed using logarithmic rather than ordinary linear measurements.
- In or according to a logarithmic scale, especially when describing spacing, measurement, or change that depends on ratios rather than simple arithmetic differences.
"The scale expands the vertical axis logarithmically, allowing values across several orders of magnitude to be compared clearly."
"The researchers plotted the results logarithmically so that both small and very large values remained visible."
"The population of the species has increased logarithmically over the past several decades."
On a logarithmic scale, equal distances represent equal ratios, not equal additions—a small mathematical idea that reveals patterns hidden across vast ranges.
Reviewed by Deb Chak, Editor. AI-assisted content curated by RJS Tech Solutions LLP.
Where does logarithmically come from?
Logarithmically derives from logarithmic, which in turn comes from logarithm. The noun logarithm was coined in the early 17th century by John Napier, combining Greek logos, meaning "ratio," with arithmos, meaning "number." The adverb was formed later with the standard suffix -ly, preserving the mathematical sense of doing or expressing something in a logarithmic manner.
Related word forms
How logarithmically is actually used
This is a formal or technical adverb, used especially in mathematics, science, data visualization, and finance. It is less common in everyday speech than related expressions such as "on a logarithmic scale."
Easily confused with logarithmically
Logarithmic is the adjective describing something that involves or uses a logarithm, whereas logarithmically is the adverb describing how something is done.