Logarithmic Graph Paper

Understanding the layout

A logarithmic decade is the interval from a value to ten times that value, such as 1 to 10 or 10 to 100. Equal ratios take equal distances on a logarithmic axis. Consequently, the space from 1 to 2 is wider than the space from 8 to 9, even though both numerical differences are one. The subdivisions are intentionally uneven; making them evenly spaced would change the meaning of the paper.

Using the sheet

Use a semi logarithmic layout when one quantity spans several orders of magnitude while the other is naturally read on a linear scale. Use log log paper when both axes need multiplicative scales. Label the quantities and units before adding points. A straight trend on these papers can be informative, but choosing log paper alone does not fit a model or prove that a particular relationship holds.

Choosing the settings

Type selects Semi log X, Semi log Y or Log log. The decades control sets how many powers of ten fit across each logarithmic axis. Axis labels can be kept for reference or hidden for a custom starting magnitude. In the vertical log layout, values increase upward. The unchanged linear axis remains a blank evenly spaced guide.

A practical example

Choose Semi log X with three decades and visible labels. The horizontal scale covers 1 through 1000. Mark the positions for 2, 20 and 200: they occur at the same relative place within three neighboring decades. Download the SVG to inspect the repeated spacing precisely.

Before you print

Zero and negative values cannot be placed on an ordinary logarithmic axis. This generator does not plot data or calculate a regression. Rescaling labels by a power of ten is valid only when done consistently.

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Common question

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