To calculate the Log Reduction:
\[ \text{Log Reduction} = \log \left( \frac{A}{B} \right) \]
To calculate the Percent Reduction:
\[ \text{Percent Reduction} = \left( \frac{A - B}{A} \right) \times 100 \]
Where:
A log reduction is a simplified way of showing the reduction in microorganisms before and after treatment. Using logs is useful because it reduces very large numbers to something manageable.
Let's assume the following values:
Step 1: Calculate the log reduction:
\[ \text{Log Reduction} = \log \left( \frac{1,000,000}{1,000} \right) = \log (1,000) = 3 \]
Step 2: Calculate the percent reduction:
\[ \text{Percent Reduction} = \left( \frac{1,000,000 - 1,000}{1,000,000} \right) \times 100 = 99.9 \% \]
So, the Log Reduction is 3 and the Percent Reduction is 99.9%.
Let's assume the following values:
Step 1: Calculate the log reduction:
\[ \text{Log Reduction} = \log \left( \frac{500,000}{50,000} \right) = \log (10) = 1 \]
Step 2: Calculate the percent reduction:
\[ \text{Percent Reduction} = \left( \frac{500,000 - 50,000}{500,000} \right) \times 100 = 90 \% \]
So, the Log Reduction is 1 and the Percent Reduction is 90%.
