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This tutorial discusses graphing logarithmic functions and their basic shapes. When both x and y are positive, the graph travels towards quadrant one. Logarithmic functions are the inverse 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. Graphing 2 to the x and log base 2 x on the same graph shows their inverse relationship reflected across the line y equals x.