# How to calculate the rate of decay

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Decay measures how quickly something disappears or dies. Decay is often used to quantify the exponential decrease of bacteria or nuclear waste. In order to calculate exponential decay, you need to know the initial population and final population.

Exponential decay occurs when the amount of decrease is directly proportional to how much exists.

Divide the final count by the initial countld. For example, if you had 100 bacteria to start and an hour later had 80 bacteria, you would divide 80 by 100 to get 0.8.

Use the calculator to take the natural log (often abbreviated "ln" on calculators) of the result from Step 1. In this example, you would take the natural log of 0.8, which equals -0.223143551.

• Decay measures how quickly something disappears or dies.
• Use the calculator to take the natural log (often abbreviated "ln" on calculators) of the result from Step 1.

Divide the result from Step 2 by 2 to calculate the rate of decay. In this example, you would divide -0.223143551 by 2 to get a rate of decay of -0.111571776.