LOGARITHMIC Meaning and
Definition
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Logarithmic can be defined as an adjective that describes a relationship or function that is based on logarithms. Logarithms are mathematical operations that help simplify calculations involving exponential expressions. The logarithmic function is the inverse of the exponential function, allowing for the conversion of exponential equations into linear equations.
In a logarithmic relationship, the variable grows or decreases by a constant factor as another variable increases linearly. This means that the rate of change is not constant; instead, it varies depending on the values being considered. The logarithmic scale is often used to represent data that spans a wide range of values or to display exponential growth or decay.
Logarithmic functions have several properties, including the power rule, product rule, and quotient rule, which enable the manipulation of logarithmic expressions. They are commonly used in various fields of study, including mathematics, physics, engineering, finance, and computer science, to model phenomena that exhibit exponential growth or decay.
For example, the Richter scale, which measures the intensity of earthquakes, is logarithmic. Each whole number increase on the Richter scale represents a tenfold increase in earthquake strength. Similarly, the decibel scale, used to measure sound intensity, is based on logarithmic calculations.
Overall, logarithmic refers to a mathematical relationship or function involving logarithms, which are fundamental tools used for simplifying exponential calculations and representing phenomena that have exponential characteristics.
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Consisting of or done by logarithms.
Etymological and pronouncing dictionary of the English language. By Stormonth, James, Phelp, P. H. Published 1874.
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Etymology of LOGARITHMIC
The word "logarithmic" originates from two Greek roots: "logos" meaning "word" or "ratio" and "arithmos" meaning "number". The Greek mathematician John Napier introduced logarithms in the 17th century, allowing complex calculations to be simplified by converting multiplication and division into addition and subtraction. The term "logarithm" was coined by Napier, combining "logos" and "arithmos" to represent the idea of finding the relationship between numbers. Over time, the adjective form "logarithmic" emerged to describe anything related to logarithms or exhibiting their properties.
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