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[Music] [Applause] [Music] [Applause] foreign good evening hello how how are you all hope everybodys well Im so sorry my video is not working this evening I dont know why um but anyway well just have to manage without it Ive also got load shedding and the battery on my um laptop is also running out so yes its a bit of a stage of a disaster but anyway there we go never mind well manage okay so what I want to talk to you about this evening is the inverse of the exponential function the logarithmic function and Im going to start off by recapping the exponential function with you because in order to be able to understand the inverse weve got to understand where it is that we come from so Im just going to go over that quickly and then we can jump in and start talking about the exponential function all right so lets draw ourselves a set of axes and we can take it from the okay so a set of red axes today thats fine okay so the most basic form of the exponential function that you