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Graphing logarithmic functions involves understanding the four basic shapes. Logarithmic functions are the inverse of exponential functions, with different characteristics such as vertical asymptotes and increasing rates. When graphing log x where x and y are positive, the graph travels toward quadrant one. Inverse functions, like 2 to the x and log base 2 x, reflect across the line y equals x. The graph of log of negative x would be different from positive x, but still follows the basic principles of logarithmic functions.
