Given information: Solve $$\frac{dP}{dt} = P(10 - 2P)$$ with initial conditions of $P(0) = 1$.

I have separated the variables, integrated, and simplified so I am now at $\ln(p) - \ln(p-5) = 10t + c$

I need help determining firstly, if that´s correct thus far, and secondly, where to go from here as everything else I have tried has not worked.