Notice that this equation that I've just written expresses the same thing. Natural log of two is equal to 50K, that means E to the 50K is equal to two, which is exactly what we had written there. And now we can solve for K, divide both sides by 50. And we are left with K is equal to the natural log of two, natural log of two over 50, over 50. And we're done. We can now write the particular solution that meets these conditions. So we can now write that our population, and I can even write our population as a function of time, is going to be equal to, is going to be equal to 100, 100 times E to the, now K is natural log of two over 50, so I'll write that.