Logs, percents and the twelve-D cook
The trade counts kill in logs, and the public reads it in percents. They are the same statement, and the conversion is worth knowing cold: — P equals one minus ten to the minus L-R. is the fraction destroyed, running from 0 to 1 (multiply by 100 to say it as a percentage), and is the log reduction, the bare count of powers of ten. The term is the surviving fraction, which is what makes the identity readable: kill plus survivors is one.
The table is short and worth memorising. 1 log is 90%. 2 logs is 99%. 3 logs is 99.9%. 4 logs is 99.99%. For any claim written as a run of nines, the log reduction is the count of the nines.
Now the reason professionals prefer logs. Percentages crowd together at the top of the scale: 99% and 99.99% look almost identical written out, and differ by a factor of a hundred in survivors. Logs keep those apart, because each one is a whole step. And the two forms must never be added — writing "4-log removal plus 99.99% removal" counts a single barrier twice, which is a real and recurring error in treatment reports.
Going the other way, : take the survivors, take their logarithm, flip the sign. And to find what is actually left, , where is the count going in and the count coming out.
Which brings up the one thing a log reduction cannot tell you on its own: it is relative. Twelve logs from a starting load of per can and twelve logs from leave wildly different numbers of survivors. The incoming load matters as much as the process does, which is why raw-material hygiene is part of a thermal schedule and not a separate conversation.
The famous number in this field is 12D — the classic low-acid canning convention, twelve decimal reductions against the target spore. Read it as exactly what it says: twelve D-values laid end to end, . Nothing more mysterious than that, and nothing less demanding.