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 the logarithm of a division can be expressed as the difference of the logarithms of the individual numbers. This rule is useful in various fields, including mathematics and science, as it helps in solving equations involving logarithms. By breaking down complex logarithmic expressions, it becomes easier to analyze and manipulate them, making calculations more straightforward.