MathBench > Visualization

Log Transformations

Try it out

human population from 1000 BCGood news! You will know that you need to make a graph on log paper, because your TA will hand out log paper. Back in the 1950s, when everyone used slide rules, people actually bought pads of semi log paper and carried them to math class. But not anymore. So, if you're expected to make a graph on log paper, someone will have to give you a paper.

Even better news! If you look just below, you will see an image of semi-log paper. That means you can practice making a semi log graph right now.

The following table contains data on human population growth over the last 3000 years. Above, this data is plotted on a normal graph. Because the data spans many orders of magnitude, the graph looks kinda empty. This is a good candidate for log transformation -- can you correctly place each point on the semi-log paper below?





year 1000 BC 0 AD 1000 1400 1750 1850 1950 1970 1980 1990 2007
popn. size (millions) 50 200 300 220 790 1260 2520 3690 4430 5260 6600