A4 Log-Log Grid
Most countries210 x 297 mm (8.27 x 11.69 in)
International home, school, and office printing
Printable Log-Log Grid
Choose the number of logarithmic cycles on the X and Y axes, select an orientation, and download the grid.
Print at Actual Size or 100% so the prepared measurements stay accurate.
Log-log graph paper uses logarithmic spacing on both the horizontal and vertical axes. Equal distances represent equal ratios rather than equal additions, allowing both variables to cover several powers of ten without crowding near the origin.
Use it for power laws, scaling relationships, material data, frequency studies, and other datasets with wide ranges on both axes. A power-law relationship appears as a straight line, and the line's slope can help you estimate its exponent.
Check the size printed on your paper pack or shown in the printer tray. A4 is standard in most countries, while US Letter is standard in the United States and Canada. Choose a larger size only when your printer or print service supports it.
210 x 297 mm (8.27 x 11.69 in)
International home, school, and office printing
8.5 x 11 in (215.9 x 279.4 mm)
US home, school, and office printing
297 x 420 mm (11.69 x 16.54 in)
Engineering sketches and larger diagrams
420 x 594 mm (16.54 x 23.39 in)
Large plans, displays, and technical drawings
8.5 x 14 in (215.9 x 355.6 mm)
Long worksheets, calculations, and plans
11 x 17 in (279.4 x 431.8 mm)
Large handouts, plans, and presentation sheets
18 x 24 in (457.2 x 609.6 mm)
Wall charts, maps, displays, and large plans
The choices below explain what changes and when each option is useful. Make the actual selection in the download panel at the top of the page.
Use this layout for two orders of magnitude on each axis; the X-axis can cover 1 to 100 and the Y-axis can cover 1 to 100 when both begin at 1.
Use this layout for three orders of magnitude on each axis; the X-axis can cover 1 to 1,000 and the Y-axis can cover 1 to 1,000 when both begin at 1.
Use this layout for three orders of magnitude on X and four on Y; the X-axis can cover 1 to 1,000 and the Y-axis can cover 1 to 10,000 when both begin at 1.
Use this layout for four orders of magnitude on X and three on Y; the X-axis can cover 1 to 10,000 and the Y-axis can cover 1 to 1,000 when both begin at 1.
Use this layout for four orders of magnitude on each axis; the X-axis can cover 1 to 10,000 and the Y-axis can cover 1 to 10,000 when both begin at 1.
Plot scaling laws, material behavior, allometric data, and inverse relationships across wide ranges.
Separate small values that would otherwise crowd near the origin on ordinary linear graph paper.
Use the slope of a straight plotted trend to estimate the exponent in a power-law model.
Choose from 70 ready-made templates. Open a paper-size group, then download the PDF for accurate printing, save a PNG, or customize the same layout in the generator.
A4 portrait · 2 x 2 cycles · Base 10 · Blue grid
A4 portrait · 3 x 3 cycles · Base 10 · Blue grid
A4 portrait · 3 x 4 cycles · Base 10 · Blue grid
A4 portrait · 4 x 3 cycles · Base 10 · Blue grid
A4 portrait · 4 x 4 cycles · Base 10 · Blue grid
A4 landscape · 2 x 2 cycles · Base 10 · Blue grid
A4 landscape · 3 x 3 cycles · Base 10 · Blue grid
A4 landscape · 3 x 4 cycles · Base 10 · Blue grid
A4 landscape · 4 x 3 cycles · Base 10 · Blue grid
A4 landscape · 4 x 4 cycles · Base 10 · Blue grid
Letter portrait · 2 x 2 cycles · Base 10 · Blue grid
Letter portrait · 3 x 3 cycles · Base 10 · Blue grid
Letter portrait · 3 x 4 cycles · Base 10 · Blue grid
Letter portrait · 4 x 3 cycles · Base 10 · Blue grid
Letter portrait · 4 x 4 cycles · Base 10 · Blue grid
Letter landscape · 2 x 2 cycles · Base 10 · Blue grid
Letter landscape · 3 x 3 cycles · Base 10 · Blue grid
Letter landscape · 3 x 4 cycles · Base 10 · Blue grid
Letter landscape · 4 x 3 cycles · Base 10 · Blue grid
Letter landscape · 4 x 4 cycles · Base 10 · Blue grid
A3 portrait · 2 x 2 cycles · Base 10 · Blue grid
A3 portrait · 3 x 3 cycles · Base 10 · Blue grid
A3 portrait · 3 x 4 cycles · Base 10 · Blue grid
A3 portrait · 4 x 3 cycles · Base 10 · Blue grid
A3 portrait · 4 x 4 cycles · Base 10 · Blue grid
A3 landscape · 2 x 2 cycles · Base 10 · Blue grid
A3 landscape · 3 x 3 cycles · Base 10 · Blue grid
A3 landscape · 3 x 4 cycles · Base 10 · Blue grid
A3 landscape · 4 x 3 cycles · Base 10 · Blue grid
A3 landscape · 4 x 4 cycles · Base 10 · Blue grid
A2 portrait · 2 x 2 cycles · Base 10 · Blue grid
A2 portrait · 3 x 3 cycles · Base 10 · Blue grid
A2 portrait · 3 x 4 cycles · Base 10 · Blue grid
A2 portrait · 4 x 3 cycles · Base 10 · Blue grid
A2 portrait · 4 x 4 cycles · Base 10 · Blue grid
A2 landscape · 2 x 2 cycles · Base 10 · Blue grid
A2 landscape · 3 x 3 cycles · Base 10 · Blue grid
A2 landscape · 3 x 4 cycles · Base 10 · Blue grid
A2 landscape · 4 x 3 cycles · Base 10 · Blue grid
A2 landscape · 4 x 4 cycles · Base 10 · Blue grid
Legal portrait · 2 x 2 cycles · Base 10 · Blue grid
Legal portrait · 3 x 3 cycles · Base 10 · Blue grid
Legal portrait · 3 x 4 cycles · Base 10 · Blue grid
Legal portrait · 4 x 3 cycles · Base 10 · Blue grid
Legal portrait · 4 x 4 cycles · Base 10 · Blue grid
Legal landscape · 2 x 2 cycles · Base 10 · Blue grid
Legal landscape · 3 x 3 cycles · Base 10 · Blue grid
Legal landscape · 3 x 4 cycles · Base 10 · Blue grid
Legal landscape · 4 x 3 cycles · Base 10 · Blue grid
Legal landscape · 4 x 4 cycles · Base 10 · Blue grid
Tabloid portrait · 2 x 2 cycles · Base 10 · Blue grid
Tabloid portrait · 3 x 3 cycles · Base 10 · Blue grid
Tabloid portrait · 3 x 4 cycles · Base 10 · Blue grid
Tabloid portrait · 4 x 3 cycles · Base 10 · Blue grid
Tabloid portrait · 4 x 4 cycles · Base 10 · Blue grid
Tabloid landscape · 2 x 2 cycles · Base 10 · Blue grid
Tabloid landscape · 3 x 3 cycles · Base 10 · Blue grid
Tabloid landscape · 3 x 4 cycles · Base 10 · Blue grid
Tabloid landscape · 4 x 3 cycles · Base 10 · Blue grid
Tabloid landscape · 4 x 4 cycles · Base 10 · Blue grid
Poster portrait · 2 x 2 cycles · Base 10 · Blue grid
Poster portrait · 3 x 3 cycles · Base 10 · Blue grid
Poster portrait · 3 x 4 cycles · Base 10 · Blue grid
Poster portrait · 4 x 3 cycles · Base 10 · Blue grid
Poster portrait · 4 x 4 cycles · Base 10 · Blue grid
Poster landscape · 2 x 2 cycles · Base 10 · Blue grid
Poster landscape · 3 x 3 cycles · Base 10 · Blue grid
Poster landscape · 3 x 4 cycles · Base 10 · Blue grid
Poster landscape · 4 x 3 cycles · Base 10 · Blue grid
Poster landscape · 4 x 4 cycles · Base 10 · Blue grid
Answers about choosing, downloading, customizing, and printing this paper.
It provides three base-10 cycles across the X-axis and four base-10 cycles up the Y-axis.
Yes. Both axes use base-10 logarithmic subdivisions. Label each major boundary with a power of ten; the minor lines within a cycle represent 2 through 9 times its starting value. Use semi-log paper instead when only one axis should be logarithmic.
Choose PDF when you want to print at an accurate physical size. Use PNG for notes, worksheets, and image-based documents. Choose SVG when you need an editable vector file for a drawing or design application.
Portrait gives you more vertical working room for worksheets, notes, and tall diagrams. Landscape gives you more horizontal room for charts, maps, tables, timelines, and wide drawings. The prepared measurements stay the same in either orientation when you print at 100%.
The print dialog probably scaled the page. Print the PDF at Actual Size or 100%, and turn off Fit to Page, Shrink, and other automatic scaling options. The paper size selected in the print dialog must also match the file you downloaded.
Yes. Open the log-log grid generator when the ready-made sizes or styles on this page do not match your project.
Open the Log-Log Grid Generator →