Mathematical Logarithms and Properties

This set of flashcards covers key terms and definitions related to logarithms and their properties.

Logarithm

The exponent to which a base must be raised to produce a given number.

Product Property of Logarithms

States that log base b of (mn) equals log base b of m plus log base b of n.

Quotient Property of Logarithms

States that log base b of (m/n) equals log base b of m minus log base b of n.

Power Property of Logarithms

States that log base b of (m^p) equals p times log base b of m.

Base of a Logarithm

The number that is raised to a power to obtain another number.

Argument of a Logarithm

The number or expression to which the logarithm is applied.

Condensing Logarithms

The process of combining multiple logarithmic expressions into a single expression.

Expanding Logarithms

The process of breaking down a logarithmic expression into a sum or difference of multiple logarithms.

Natural Logarithm

The logarithm to the base e, often denoted as ln.

Exact Answer

A value that is accurate and not rounded, typically used in mathematical contexts.