Problem:
Find all real solutions to $9^{\frac{19 x}{\sqrt{3}}-\frac{23}{\sqrt{3}}}9^{\frac{22 x}{\sqrt{3}}+\frac{19}{\sqrt{3}}} = 9^{\frac{11}{\sqrt{3}}-\frac{37 x}{\sqrt{3}}}$
Answer:
$\left\{\left\{x\to \frac{5}{26}\right\}\right\}$
{'source': 'AMPS', 'file': 'amps/mathematica/algebra/exponential_equations/16188.txt'}