Look at the scale on the paper and ensure it matches with your data. For example, if your Y data runs from 0 to 1000, make sure the Y-axis has 0 to 1000 on it; if not, you'll need to relabel the data point on the Y-axis. Some logarithmic scales may have 1 to 10 repeated several times. Change this to 1 through 10, 10 through 100 and 100 through 1000.
Plot your data points on the graph. Take a note of which axis has the logarithmic scale -- it's usually the Y-axis. To plot a variable, find the X variable on the horizontal axis and then find the Y variable on the Y-axis. For example, if you have (2,100), find "2" on the X-axis and "100" on the Y-axis. Draw a small dot where the vertical line going up from the X-axis and the horizontal line going out from the point on the Y-axis intersect.
Draw a line, starting at the point to the far left of your graph and ending at the far right of your graph. The line should travel through each dot from left to right.