Semi-Log Graph Paper
One linear axis and one logarithmic, so exponential growth and decay plot as straight lines and the slope gives the rate.
One linear axis and one logarithmic, so exponential growth and decay plot as straight lines and the slope gives the rate.
Choose Semi-Log Graph Paper from the list. It opens with the usual size already set.
Pick the paper size, the grid and the orientation. Customize holds colours, margins and more.
Download the ready PDF, or print straight from the page at 100% scale.
For y = a·e^(kx), taking logs of y alone gives log y = log a + kx — linear in x. So a process with a constant percentage growth or decay rate lands on a straight line here, with the rate readable from the gradient.
That makes semi-log paper the right sheet for half-lives, compound interest, bacterial growth and anything else where the change is proportional to the amount present.
The convention is time along the linear axis and quantity up the logarithmic one, since time advances in equal steps and the quantity multiplies.
Every sheet here is free, adjustable and prints at exact scale.
The vertical one. The horizontal axis is evenly divided, which suits time or any other quantity that advances in equal steps.
Find how far along the linear axis the value takes to cover one decade — one factor of ten. That distance is the time constant for a tenfold change, and everything else follows from it.
Enough to cover your data range: four decades spans 1 to 10,000. Extra decades just compress the part you care about.
