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This video tutorial discusses graphing logarithmic functions and explains the four basic shapes. When x and y are positive, the graph of log x travels towards quadrant one. Logarithmic functions are the inverses of exponential functions, with exponential functions containing a horizontal asymptote and logarithmic functions containing a vertical asymptote. Exponential functions increase at an increasing rate, while logarithmic functions increase at a decreasing rate. When 2 to the x and log base 2 of x are graphed together, they form inverse functions that reflect across the line y equals x._GRAPH_END_