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now lets talk about graphing logarithmic functions lets go over the four basic shapes so lets say if you have log x where x and y are both positive kind of like what we did in the last lesson in this case the graph is going to travel towards quadrant one logarithmic functions are basically the inverse of an exponential function exponential functions contain a horizontal asymptote logarithmic functions contain a vertical asymptote exponential functions they increase at an increase in rate logarithmic functions they increase at a decrease in rate so lets say if we were to put 2 to the x and log to the x on the same graph this is the basic curve of 2 to the x and the graph log base 2 dx looks like this im going to highlight it in blue these two functions are inverse functions an inverse function reflects across the line y equals zero with its counterpart so lets say this is f this is the inverse of f they reflect about the line y equals x now what is the graph of log of negative x
