I have a given transfer function \$ |H| = \frac{R_2}{\sqrt{R_1^2+\frac{1}{(\omega c)^2}}} \$ where \$ c = 1\mathrm{\mu F} \$ and \$ R_1,R_2 \$ are unknown. I know that \$ |H(j\omega_c)| = 50.1 \$ where \$ \omega_c = 500\mathrm{ rad/s} \$ and that the gain decreases with 20dB/decade for \$\omega<\omega_c\$. The way I've understood the 20dB/decade decrease is that for \$\omega=50\mathrm{rad/s}\$ we should have \$|H|_{dB}=14 \implies |H|=5.012\$ since \$50.1\approx 34\mathrm{dB}\$. By that reasoning I get the following two equations
$$ \frac{R_2}{\sqrt{R_1^2+\frac{1}{(500c)^2}}}=50.1\ $$ and $$ \frac{R_2}{\sqrt{R_1^2+\frac{1}{(50c)^2}}}=5.012\ $$
But they don't give me the right answers, what is wrong with this reasoning?