I have an expression involving very small probabilities $A,B,C,D$.
$$x \ge \frac{k_1B}{A + k_2B}$$ $$x \le \frac{k_1C}{D + k_2C}$$
Is there any way for me to check if $x$ satisfies the above inequalities using $\log(A),\log(B),\log(C)$ and $\log(D)$?