What is the result of log(x/y)?

The expression log(x/y) can be simplified using the properties of logarithms, specifically the quotient rule. The quotient rule states that the logarithm of a quotient is the difference of the logarithms. Thus, log(x/y) can be expressed as:

log(x/y) = log(x) - log(y).

This means when you take the logarithm of a division, you subtract the logarithm of the denominator from the logarithm of the numerator. Therefore, the correct interpretation of log(x/y) is indeed log(x) - log(y). This rule is fundamental in logarithmic operations and is widely applicable in various mathematical contexts.

Understanding this property allows you to apply it effectively in solving problems that involve logarithmic expressions and helps in manipulating equations involving logarithms.