Uploaded January 2026 | Updated September 2026, 2 weeks ago
Logarithmic scales are commonly used in many fields since they allow numerical data to be displayed over a very wide range of values in a compact way. Although the base of a logarithmic function can be any positive real number other than "one", the base values most commonly used for logarithms, are base ten - otherwise known as the “common logarithm”, base two - the “binary logarithm”, and “base e” - the “natural logarithm”. In this lecture, we will show that logarithms are exponents, and therefore follow the same rules as exponents.
Logarithmic scales are commonly used in many fields since they allow numerical data to be displayed over a very wide range of values in a compact way. Although the base of a logarithmic function can be any positive real number other than "one", the base values most commonly used for logarithms, are base ten - otherwise known as the “common logarithm”, base two - the “binary logarithm”, and “base e” - the “natural logarithm”. In this lecture, we will show that logarithms are exponents, and therefore follow the same rules as exponents.










