Problem:
Find all real solutions to $\frac{\log (x-10)}{\log (5)}+\frac{\log \left(9-\frac{11 x}{2}\right)}{\log (5)}=\frac{\log \left(-x-\frac{33}{2}\right)}{\log (5)}$
Answer:
$\left\{\left\{x\to \frac{1}{11} \left(65-4 \sqrt{163}\right)\right\},\left\{x\to \frac{1}{11} \left(65+4 \sqrt{163}\right)\right\}\right\}$
{'source': 'AMPS', 'file': 'amps/mathematica/algebra/log_equations/26241.txt'}