The equation \log_b(m/n) = \log_b(m) - \log_b(n) is a property of logarithms that shows how to simplify the logarithm of a quotient. Here, b is the base of the logarithm, while m and n are positive numbers. This property indicates that taking the logarithm of a division can be transformed into a subtraction of two logarithms. This rule is useful in various fields, including mathematics, science, and engineering, as it allows for easier calculations and simplifications. By breaking down complex logarithmic expressions, it helps in solving equations and analyzing data more effectively.