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in this lesson weamp;#39;re going to focus on graphing natural log functions and exponential functions with the base e now the principles learned in sections one and two of this lesson still applies here the way you would graph a regular log is the same way you would graph a natural log and the way you would graph 2 to the x is the same as e to the x but letamp;#39;s work on some examples letamp;#39;s start with the graph e to the x minus two plus three so what weamp;#39;re gonna do is weamp;#39;re gonna set the exponent equal to two things zero and one just as we did before and weamp;#39;re going to make a table so the x values that weamp;#39;re going to choose are if you solve for x itamp;#39;s going to be 2 and 3. the horizontal asymptote is based on this number so y equals three is the horizontal asymptote now we donamp;#39;t need this part anymore letamp;#39;s find out the y value when x is two two minus two is zero e to the zero is one anything raised to the zero power