Logarithmic Silver Chart vs Linear: Which Scale to Use

Open a long-term silver price chart and you will often see a small switch labelled “log” or “linear”. Flipping it can make the same price history look completely different. A logarithmic silver chart shows percentage changes, while a linear chart shows dollar changes. This guide explains the difference, when each scale is useful, and how to avoid being misled by either.

What a linear chart shows

On a linear scale, equal distances on the vertical axis represent equal dollar amounts. The gap between $10 and $15 is the same height as the gap between $40 and $45.

That makes linear charts intuitive for short periods. If you are looking at a few days or weeks, prices usually move within a narrow range, so dollar changes and percentage changes look similar. As a result, most intraday and short-term charts use a linear scale by default.

What a logarithmic silver chart shows

On a logarithmic scale, equal distances represent equal percentage changes. A move from $5 to $10 is a 100% gain. On a log chart, it takes up the same height as a move from $20 to $40, which is also 100%.

This matters for long histories. Over decades, silver has traded at very different price levels. On a linear chart, moves from the early years look tiny because the dollar amounts were small. On a log chart, they appear in proportion to their real percentage size.

A worked example

Consider two hypothetical moves, each worth $5:

These prices are for illustration only. The log chart shows that doubling your money is a far bigger event than a 20% gain, even though both moves added $5.

When to use each scale

• Use linear for short timeframes, such as a day, a week or a few months, when prices stay in a narrow band.
• Use log for long timeframes, such as 10, 20 or 50 years, when prices have changed a lot.
• Use log to compare how volatile different periods were, because it puts all moves on a percentage footing.
• Use log when comparing silver with other assets over long periods.

How each scale can mislead

A linear chart over many years can make recent moves look dramatic and older ones look flat. Consequently, it can exaggerate the importance of the latest rally or fall.

Meanwhile, a log chart can make large recent dollar moves look modest. If your costs or budget are in dollars, a “small” move on a log chart may still matter a lot to you. Neither scale is wrong. They answer different questions: how many dollars changed, or by what percentage.

Tips for reading long-term silver charts

1. Check which scale the chart uses. Many platforms show it in a corner or in the axis settings.
2. Check whether prices are nominal or adjusted for inflation. A log scale does not remove the effect of inflation.
3. Check the price source. A chart may show the daily LBMA silver price or a futures series. We explain the difference in our guide to silver spot vs futures.
4. Compare the same period on both scales before drawing conclusions.

Frequently asked questions

What is a logarithmic silver chart?

It is a chart where equal vertical distances represent equal percentage changes in price, rather than equal dollar changes.

Is a log or linear chart better for silver?

Neither is better in general. Linear suits short periods, while log suits long histories and percentage comparisons.

Why do long-term silver charts look different on a log scale?

Because older moves happened at lower prices. A log scale shows them by percentage size, so they no longer look flat.

Does a log chart adjust for inflation?

No. Inflation adjustment is a separate step. A log chart only changes how price changes are displayed.

Sources

• LBMA: LBMA Silver Price and historical data
• CME Group: Silver Product Overview

This article is general information, not financial advice. Example prices are for illustration only. Prices shown on any site may lag the live market, so check an official source before making any decision.

Written and reviewed by the SilverPriceCharts.com editorial team. Sources are linked above.