Final answer:
The property of logarithms used in the image is that the logarithm of the division of two numbers equals the difference of their logarithms.
Step-by-step explanation:
The property of logarithms being applied in the image is the property that states: the logarithm of the number resulting from the division of two numbers is the difference between the logarithms of the two numbers. This is represented mathematically as log(a/b) = log(a) − log(b). It is a fundamental property of logarithms that applies to any base of logarithm, whether it's the common logarithm with base 10 (log) or the natural logarithm with base e (ln).
When numbers are plotted on a logarithmic scale, as may be the case with the image in question, each unit increase represents a 10-fold increase in the quantity being measured. This enables a clearer visual representation of data that spans a large range of values by compressing the scale for larger numbers.