## College Algebra (6th Edition)

The function $g(x)=\log_{b}x$ (the logarithmic function with base $b$) is the inverse function of the exponential function with base $b,\ f(x)=b^{x}$ The graphs of inverse functions are reflections of the original function, about the line y=x. Our plan: 1. graph f(x) by plotting several points, (x,f(x)) joining them with a smooth curve, 2. swap the coordinates of the points we got in step 1 to obtain new points (f(x),x). 3. The points in (2.) are reflections of the points in (1.) about the line y=x. We may graph the line y=x to illustrate this. Joining this new set of points, we have graphed g(x)