log b​ 6−log b​ 3

The expression you provided is a subtraction of two logarithms with the same base. According to the properties of logarithms, specifically the quotient rule, the subtraction of two logarithms with the same base can be rewritten as a single logarithm where the arguments are divided.

So, "log b 6 - log b 3" can be rewritten as "log b (6/3)".

Now, simplify the expression inside the parentheses. 6 divided by 3 equals 2.

So, "log b (6/3)" simplifies to "log b 2".

Therefore, "log b 6 - log b 3" equals "log b 2".