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 product. Here, b is the base of the logarithm, while m and n are positive numbers. This property states that the logarithm of the product of two numbers is equal to the sum of their individual logarithms. This rule is useful in various fields, including mathematics, science, and engineering, as it allows for easier calculations and problem-solving. By breaking down complex logarithmic expressions into simpler parts, it helps in understanding relationships between numbers and their logarithmic values.