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I want to look at some very special logs some really important logs of course where I always start with logarithms just the definition let me remind you that if I say y equals log base B of X thats the same thing as saying that the log is the exponent so B is the base raised to the exponent Y to get X now I want to talk about some very very special some very very special logarithms the first one is if its in base 10 if we have a base 10 thats called the common logarithm and we actually its so common that we actually even drop the the B there so we dont even have to write the B when the B is 10 we just write log of X and we know we understand weve all agreed all the mathematicians and math students the world got together one night and said okay guys promise if you see log of X its theres an invisible base ten there so base ten is the common log and the graph of that its the inverse of the exponential function which means that it it kind of has this very very steep incline then