In logarithms, division can be simplified using the property that states the logarithm of a quotient is the difference of the logarithms. This means that for any positive numbers a and b, the logarithm of a/b can be expressed as log(a) - log(b). This property helps in solving logarithmic equations more easily. This division rule applies to any logarithmic base, such as logarithm base 10 or natural logarithm base e. Understanding this concept is essential for simplifying complex logarithmic expressions and is widely used in fields like mathematics, science, and engineering.