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Log reduction calculator

Calculate a decimal log reduction from comparable microbial counts. A zero observed count is a detection-limit result, not proof of an infinite reduction or sterility.

Calculator

Log10 reduction
3.000
Reduction
99.900000%
Reduction factor
1,000.000

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How this calculator works

A one-log reduction divides the count by ten, a two-log reduction by one hundred, and so on. Both measurements must have the same units, sampled volume basis and recovery method. Below-detection observations need a stated detection limit; do not replace a nondetect with zero in a logarithm. The calculation alone does not validate a disinfection process.

Formula

L = log10(N0/N). Reduction fraction = 1 - 10^(-L). N = N0 × 10^(-L). L = -log10(1 - reduction fraction).

Worked example

From 1,000,000 CFU to 1,000 CFU, the reduction is 3 log or 99.9%. From 10,000 CFU to 100 CFU, the reduction is 2 log or 99%.

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Frequently asked questions

What if no colonies are detected?

Use the test's detection limit to report a lower bound on reduction. Zero cannot be used as the denominator of a log ratio.

Can a count increase have a log reduction?

It would have a negative log change. This tool is for reductions and rejects an increased final count.

Does 99.9% reduction mean a sample is sterile?

No. Remaining organisms depend on the starting load, and detection, sampling and organism type also matter.

Sources

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