Decay rates in exponential decay
Hi there, I'm actually trying to write a little computer program which will invlove me using a half-life type of decay, and I'm not really sure how to go about various calculations.
What I want to calculate is a particular value, x, to repeatedly multiply my decaying variable Alpha by (Alpha is given and can be between 0.01 and 1), so that over 1000 steps Alpha becomes 0.01.
Now, I did this by hand for an initial alpha of 1 and got a value 0.995405418.
I'm thinking that could possibly boil down to
0.01 = Alpha ( x ^ 1000)
But I don't have the math skills to rearrange for x, and I'm not sure that's the right answer anyway.