Graphs of Exponential and Logarithmic Functions

(please wait while the applet loads...)

Consider the general exponential function f(x)=a^x and its inverse logarithmic function g(x)=log_ax. The applet below illustrates how changes in the base a will affect the graphs of these two functions.The red graph is f(x)=a^x, and the green graph is g(x)=log_ax. Use the slider to explore the effect of changing the value of the base a. Note that for every a, the graphs of f and g are reflections in the line y=x, which is shown on the graph in blue.

MultiGraph applet written by David Eck (http://math.hws.edu/javamath/index.html)

Math 140 home page