Problem:
Find all real solutions to $9^{\frac{45 x}{2}+\frac{87}{4}}9^{\frac{17 x}{4}+\frac{25}{2}} = 81^{\frac{65}{4}-\frac{85 x}{4}}$
Answer:
$\left\{\left\{x\to -\frac{7}{277}\right\}\right\}$
{'source': 'AMPS', 'file': 'amps/mathematica/algebra/exponential_equations/17818.txt'}