Everything Is Logarithms

The article explores a novel conceptual framework for understanding logarithms by introducing the idea of "baseless logarithms" as fundamental abstract objects, analogous to how displacement vectors are derived from points in geometry. By treating logarithms without a specified base as primary entities and interpreting different bases as different "units" (like bits and nats), the author argues this perspective clarifies why logarithm change-of-base formulas work and makes the multiplicative nature of logarithms more intuitive. The piece suggests logarithms function similarly to vectors in that they require a chosen reference point or base to convert into concrete numerical values.