Log Reduction Calculator

Each log removes 90 percent of what is left — no number of logs ever reaches zero.

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Log reduction4
Percent reduction99.99%
Fraction surviving1 × 10⁻⁴one in 1 × 10⁴
Organisms removed9.999 × 10⁵
One more log would leave1 × 10¹
To reach a 6-log reduction, survivors would be1 × 10⁰
Three to five logs is the range most disinfection protocols target. Drinking water chlorination is specified at 4 logs for viruses.

The formula

log reduction = log10(before / after)

A proportional scale, because killing is proportional

Disinfection removes a fraction of what is present, not a fixed number of organisms, so the natural scale is logarithmic. One log reduction removes 90 % of what was there, two removes 99 %, three 99.9 %. Each further log takes away nine tenths of whatever survived the last one.

Nothing ever reaches zero

No number of logs gives sterility in the absolute sense — the curve approaches zero without arriving. This is why sterilisation standards are written as a sterility assurance level instead: a 12-log reduction leaves a one-in-a-million chance that a single organism survives in a given unit, and that is what "sterile" means in practice.

The numbers that matter in practice

Hand washing achieves roughly 2 to 3 logs. Chlorination of drinking water is specified at 4 logs for viruses. Terminal sterilisation of medical devices targets 12. The gap between 3 and 12 sounds modest and is a factor of a thousand million.

Ratios are expectations, not promises

Every genetic ratio on these pages is a probability distribution, not a guarantee. A 3:1 cross does not produce three dominant offspring for every recessive one in a litter of four — it produces each offspring independently with a three-quarters chance. Small families depart from the expected ratio routinely, and that is the reason Mendel needed thousands of pea plants rather than dozens.