Problem:
Find all real solutions to $\frac{1}{10077696\ 6^{3/4}}6^{\frac{83 x}{4}-3} = 6^{-\frac{27 x}{4}-\frac{77}{4}}$
Answer:
$\left\{\left\{x\to -\frac{13}{55}\right\}\right\}$
{'source': 'AMPS', 'file': 'amps/mathematica/algebra/exponential_equations/12289.txt'}