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So my problem is, I have trouble understanding logarithms. Now I haven't gotten to natural logs and stuff, but I have gone over the more basic rules. Unfortunately I have no idea why they work. For example why is logab = loga+logb. Now this kinda goes for all the rules I know, I can use them and apply them but I have no idea what makes them function. If there is anyway to maybe prove them, that would be fantastic.