Both axes logarithmic: the standard sheet for plotting power laws and frequency-response curves.

Free log-log graph paper PDF. Both axes logarithmic, 3 horizontal decades by 4 vertical decades, for power laws, Bode-style plots and allometry.

Log-Log Graph Paper | Free Printable PDF (3×4 Decade)

Log-Log Graph Paper

On log-log paper, a straight line has slope n equal to the power-law exponent. Measure rise-over-run in decades: if y goes up 2 decades while x goes up 1, the slope is 2 and the underlying law is y ∝ x². The y-intercept (where x = 1) gives the prefactor A directly.

Slope is the exponent, intercept is the prefactor

Concave-down means the effective exponent is decreasing with x (often saturation); concave-up means it's increasing (often a feedback or autocatalytic regime). Spot the curvature before you fit a model — the model should match the shape, not paper over it.

Curvature is diagnostic

Like semi-log paper, the decade labels are unanchored. Decide what '1' on the x-axis means (1 mm, 1 Hz, 1 mg) before you plot, and label both axes with units. A log-log plot without unit anchors can be wildly misinterpreted.

Anchor at the decade you care about

Even before fitting a model, plotting raw data on log-log paper tells you whether a power law is plausible. Five minutes with paper and a pencil saves the embarrassment of fitting a power law to data that isn't power-law in the first place.