Problem:
Find all real solutions to $\frac{\log \left(x+\frac{11}{2}\right)}{\log (3)}+\frac{\log \left(\frac{x}{2}+\frac{25}{4}\right)}{\log (3)}=\frac{\log \left(-\frac{49 x}{4}-\frac{7}{4}\right)}{\log (3)}$
Answer:
$\left\{\left\{x\to \frac{1}{4} \left(-85-17 \sqrt{21}\right)\right\},\left\{x\to \frac{1}{4} \left(-85+17 \sqrt{21}\right)\right\}\right\}$
{'source': 'AMPS', 'file': 'amps/mathematica/algebra/log_equations/28047.txt'}