# A3.12 Understanding log₁₀ reductions

To keep large numbers manageable, these are often expressed using scientific notation. When calculating the magnitude of change in cell numbers, a logarithmic scale is often used. As the series demonstrates, if the log reduction is a whole integer, the numerical value equals the number of nines in the percent reduction figure.

* 1 log reduction = 90%
* 2 log reduction = 99%
* 3 log reduction = 99.9%
* 4 log reduction = 99.99%
* 5 log reduction = 99.999%

Similarly, the relationship can be expressed in terms of showing the number of organisms eliminated during the treatment process:

* 1 log reduction = 10 times smaller
* 2 log reduction = 100 times smaller
* 3 log reduction = 1 000 times smaller
* 4 log reduction = 10 000 times smaller
* 5 log reduction = 100 000 times smaller


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