Category: Updates

Removing logs from equation

I have a simple question that I need clarification on: If $$\log(a) = \log(b) + c$$ is it true that $$a = b + \exp(c)$$ Is this correct or am I missing so...

Group as a category

Is it possible to define a group as a category? What exactly will be objects of this category and how will we say that every element should have an inverse?