In this case, and in many other cases, log without further specification is meant to be understood as just "it is logarithmic" without further specification. Wi

In this case, and in many other cases, log without further specification is meant to be understood as just "it is logarithmic" without further specification. With big O, we don't differentiate between log bases, just as we don't differentiate between scale factors. In fact, converting from one log base to another is just multiplying by a constant.