The discussion revolves around the properties of logarithms, specifically whether they are only defined for non-negative values. Participants explore the definitions and implications of logarithms in different contexts, including high school mathematics and complex number theory.
Participants express differing views on the definition of logarithms, with some agreeing on the non-negativity of bases in high school contexts while others propose broader definitions that include non-positive values through complex numbers. The discussion remains unresolved regarding the general applicability of logarithmic definitions.
There is a lack of clarity on the assumptions regarding the definitions of logarithms, particularly in relation to complex numbers and their relevance to high school mathematics. The discussion also reflects varying levels of familiarity with the topic among participants.
micromass said:You can define the logarithm for all nonzero real numbers. But this requires complex number theory. So it's not suitable for high school.
mileena said:Thanks, I read the above though in the book Pre-Calculus for Dummies. It said all logarithms and bases were non-negative. I'm not that good on trigonometry or pre-calc.