We do not have a log2x button on our calculators. The only way we can do this for now is to draw up a table of values and plot the points, or use a computer.

Later we will see how to plot this using the change of base formula which we meet in 5. Logs to the Base e.

Using a computer to graph it gives us:

math expression

Unlike the graph in the previous example, this graph does not have a limiting value. As x increases, so does y.