right|thumb|upright=1.35|Plots of logarithm functions, with three commonly used bases. The special points are indicated by dotted lines, and all curves intersect in .
A logarithm is a mathematical function that answers the question "what power do I need to raise a base number to in order to get another number?" — for example, the logarithm of 100 to base 10 is 2, because 10 raised to the power of 2 equals 100. Logarithms are useful in science, engineering, and everyday applications because they help simplify calculations involving very large or very small numbers and appear naturally in many real-world phenomena.
AI-generated from the Wikipedia summary — may contain errors.
right|thumb|upright=1.35|Plots of logarithm functions, with three commonly used bases. The special points are indicated by dotted lines, and all curves intersect in .
In mathematics, the logarithm of a number is the exponent by which another fixed value, the base, must be raised to produce that number. For example, the logarithm of to base is , because is to the rd power: . More generally, if , then is the logarithm of to base , written , so . As a single-variable function, the logarithm to base is the inverse of exponentiation with base .
Discovered by embedding cosine similarity (sentence-transformers MiniLM, 384-dim).