# Exponential Decay Calculator

You may use this exponential decay calculator to handle exponential decay problems like calculating population decrease, compound interest, and many more.

Exponential decay is an exponential function in mathematics. It is used to describe any logarithmic or exponential curve that goes on decreasing with time and for such functions, it describes the rate of decrease over a period of time.

The advantage of using the exponential decay formula over other formulas is that it can be easily used to find the exponential decay on any scale, which means that we can extrapolate it horizons way beyond what we are seeing and use it even when something is imaginary to us but real to others!

## Exponential Decay Curve

An exponential law governs how the mass of a radioactive element decays over time. The half-life of an element is the time it takes for it to degrade to half of its original mass. The mass ‘m’ of an iodine element decays at a rapid rate, as seen in the table below.

The element’s original mass is 80 grammes, and it decays to 40 grammes after 8 days, which is half its original mass; thus, the element’s half-life is 8 days. As illustrated in the image, the graph of this function is an exponential decay curve.

## Exponential Decay Calculator Use

• This calculator is easy to use and understand.
• You can calculate exponential decay in real-world scenarios in only three steps.
• The initial value must be entered first.
• The % change in decay rate is entered as the second step.
• The third step is to input the amount of time that has passed.
• The ultimate result in terms of time x(t) will be shown by the calculator.

## Formula to Calculate Exponential Decay

The formula to calculate exponential decay is mentioned below:

X(t) = exponential growth function
X0 = initial value
r = % decay rate
t = time elapsed