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This tutorial discusses graphing logarithmic functions, highlighting the four basic shapes that may be observed when graphing log x where x and y are both positive. Logarithmic functions are explained as the inverse of exponential functions, with differences in their behavior, such as vertical asymptotes and rates of increase. Comparisons between the graphs of 2 to the x and log base 2 of x are also shown, emphasizing their inverse relationship and reflection across the line y equals x. Additionally, the graph of log of negative x is inquired about.