log(a) - log(b)
The expression "log(a) - log(b)" represents the difference between the logarithms of two numbers, a and b. According to the properties of logarithms, this can be simplified using the quotient rule, which states that the difference of two logarithms is equal to the logarithm of their quotient. Therefore, "log(a) - log(b)" can be rewritten as "log(a/b)".
This property is useful in various fields, including mathematics, science, and engineering, as it allows for easier calculations and simplifications. Logarithms help in solving exponential equations and analyzing data that spans several orders of magnitude, making them a valuable tool in both theoretical and applied contexts.