Insecticide A is said to be twice as potent as insecticide B if a concentration c of A is needed to kill the same proportion of insects as are killed by a concentraion 2c of insecticide B. In general A is \lambda more times potent than B if a concentration of \lambda c of B kills the same proportion of insects as does a concentration c of A.

The probability that an insect is killed by a concentration c of insecticide A is:
\frac{exp(\alpha +\beta_{A}c)}{1+exp(\alpha + \beta_{A}c)}
with the correspoding probability for insecticide B being
\frac{exp(\alpha +\beta_{B}c)}{1+exp(\alpha + \beta_{B}c)}

If A is twice as potent as B, what is the relation between \beta_{A} and \beta_{B}?
What is the relation if A is \lambda times as potent as B?


I'm not really sure where to start with this question, but I think with a hint I can finish the rest on my own.
Help much appreciated! Thanks.