$$\begin{cases}3^{7}-2^{x^{3}}=77\\ 3^{\frac{s}{2}}-2^{\frac{x^{2}}{2}}=7\end{cases}$$
$x=\sqrt[3]{\log_{2}\left(2110\right)}\approx 2.22687607$
$s=2\log_{3}\left(2^{\frac{\left(\log_{2}\left(2110\right)\right)^{\frac{2}{3}}}{2}}+7\right)\approx 4.609213902$
