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The text discusses graphing logarithmic functions, explaining the four basic shapes for log x where x and y are positive. Logarithmic functions are inverses of exponential functions, with exponential functions having a horizontal asymptote and logarithmic functions having a vertical asymptote. Exponential functions increase at an increasing rate, while logarithmic functions increase at a decreasing rate. When plotting 2 to the x and log base 2 of x on the same graph, they create inverse functions reflecting across the line y equals x. The graph of log of negative x is not specifically addressed in the text.