Variables $x$ changes according to

$$\frac{\dot x}{x} = 0.02 -0.54(\log x(t) - \log x^\*)$$

Now we have that $x\_1(0) = 2x\_2(0)$. Both $x\_1$ and $x\_2$ change according to the above equation i.e. both change in the same way only the starting point is different. I am asked to find how much time it would take for the gap between $x\_1$ and $x\_2$ to $10\%$.

I’ve been thinking about it for a while but couldn’t figure out how to approach the question, time isn’t a variable here so how do I solve for it, please help out