[list][*]Use the input boxes and slider tools for [math]a[/math] and [math]b[/math] to set the parameters for the logarithmic function [math]f(x)=\ln(ax+b)[/math]. [/*][*]Use the input box for [math]x_0[/math] to adjust the location of the point [math]P[/math] on the graph. Use the slider tool for [math]h[/math] to adjust the location of the point [math]Q[/math]. [/*][/list]

[b]Logarithmic functions[/b] are inverses of exponential functions. [br][list][*]Algebraically, this means that they "undo" the operation of an exponential function. This allows us to "cancel" and solve equations.[/*][*]Graphically, this means that the graph of a logarithm function is a reflection about the line y = x of the corresponding exponential function (because inverse functions swap inputs x and outputs y). [/*][/list][br]We will primarily work with the natural logarithm, [math]\ln x[/math], which is the inverse of the natural exponential function, [math]e^x[/math]. Notice the relationship between the behaviors of these two functions.