\[\frac{\left( x^{8} \right)^{3} \cdot \left( x^{2} \right)^{5}}{\left( x^{4} \right)^{5} \cdot x^{13}} = 19\]
\[\frac{x^{24} \cdot x^{10}}{x^{20} \cdot x^{13}} = 19\]
\[\frac{x^{34}}{x^{33}} = 19\]
\[x = 19.\]