Problem:
Find all real solutions to $\frac{3^{2 \sqrt{3} x+\frac{41}{\sqrt{3}}}}{3^{\frac{35 x}{\sqrt{3}}-\frac{19}{\sqrt{3}}}} = 9^{\frac{22 x}{\sqrt{3}}+\frac{22}{\sqrt{3}}}$
Answer:
$\left\{\left\{x\to \frac{16}{73}\right\}\right\}$
{'source': 'AMPS', 'file': 'amps/mathematica/algebra/exponential_equations/48339.txt'}