What does the Exponential Decay Variables Mean? For Half Lifes Y=Ae^-bX

What does the Exponential Decay Variables Mean? For Half Lifes Y=Ae^-bX

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ok so your formula is A is the initial population b is the decay coefficient X is normally the time. \[Y = Ae^{-bx}\] then then is the population half of the initial population of A for half life you will have \[\frac{Y}{A} = \frac{1}{2} \] so the equation becomes \[\frac{1}{2} = e^{-bX}\] you can find - bX by taking the log of both sides of the equation

Another thing is if i know the half life in years = 5715 and the amount after 1000 years is 2 grams then what is the initial amount?

so normal time is the amount of time passed?

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