A4 3 cycles semi-log grid in portrait orientation
A4 · 3 cycles · Portrait

Printable Semi-Log Grid

Printable Semi-Log Graph Paper

Choose how many base-10 cycles your data spans and the page orientation, then download the matching grid.

2. Log cycles
Choose page orientation

Print at Actual Size or 100% so the prepared measurements stay accurate.

What is semi-log graph paper?

Semi-log graph paper uses a logarithmic scale on one axis and an evenly spaced linear scale on the other. Each logarithmic cycle represents a tenfold change, giving small and large values enough room on the same graph.

Use it for exponential growth and decay, population change, cooling curves, frequency response, and measurements that span several powers of ten. Choose the number of log cycles by counting the tenfold ranges in your data—for example, 1 to 1,000 requires three cycles.

Which paper size should I choose?

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.

A4 Semi-Log Grid

Most countries

210 x 297 mm (8.27 x 11.69 in)

International home, school, and office printing

US Letter Semi-Log Grid

United States & Canada

8.5 x 11 in (215.9 x 279.4 mm)

US home, school, and office printing

Large and special paper sizes

A3 Semi-Log Grid

297 x 420 mm (11.69 x 16.54 in)

Engineering sketches and larger diagrams

A2 Semi-Log Grid

420 x 594 mm (16.54 x 23.39 in)

Large plans, displays, and technical drawings

US Legal Semi-Log Grid

8.5 x 14 in (215.9 x 355.6 mm)

Long worksheets, calculations, and plans

Tabloid (11 x 17) Semi-Log Grid

11 x 17 in (279.4 x 431.8 mm)

Large handouts, plans, and presentation sheets

Poster Semi-Log Grid

18 x 24 in (457.2 x 609.6 mm)

Wall charts, maps, displays, and large plans

Paper size guide →

How many logarithmic cycles do you need?

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.

1 cycle

One-cycle semi-log paper is useful for introductory logarithmic plots and data contained within a single tenfold range. A starting value of 1 can cover 1 to 10.

2 cycles

Two-cycle semi-log paper suits growth, decay, and measurement data spanning two tenfold ranges. A starting value of 1 can cover 1 to 100.

3 cycles

Three-cycle semi-log paper is a practical general-purpose choice for science labs, growth and decay curves, and engineering data with a broad range. A starting value of 1 can cover 1 to 1,000.

4 cycles

Four-cycle semi-log paper provides room for wide-range scientific and engineering data spanning four powers of ten. A starting value of 1 can cover 1 to 10,000.

What is semi-log graph paper used for?

Growth and decay

Plot population growth, cooling, radioactive decay, compound change, and other exponential relationships.

Science and engineering data

Compare measurements that cover several powers of ten while keeping time, distance, or another variable linear.

Straight-line analysis

Use the transformed logarithmic axis to inspect relationships that curve on ordinary linear graph paper.

Frequently asked questions

Answers about choosing, downloading, customizing, and printing this paper.

How many semi-log cycles should I choose?

Count the powers of ten in the data range. Values from 1 to 1,000 need three cycles; values from 1 to 10,000 need four.

Which axis is logarithmic on these files?

The prepared resources use a logarithmic Y-axis and a linear X-axis. Use the generator if you need the logarithmic scale on the X-axis instead.

Open the Semi-Log Grid Generator →
How do I label a semi-log axis?

Label each major cycle boundary with the power of ten required by your data. Within a cycle, the minor lines represent 2 through 9 times the value at the beginning of that cycle.

Which file format should I download?

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.

Should I choose portrait or landscape?

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%.

Why did the paper print at the wrong size?

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.