Problem:
Find all real solutions to $\frac{\log \left(x+\frac{31}{5}\right)}{\log (6)}+\frac{\log \left(\frac{17}{5}-x\right)}{\log (6)}=\frac{\log \left(-\frac{28 x}{5}-\frac{16}{5}\right)}{\log (6)}$
Answer:
$\left\{\left\{x\to \frac{1}{5} \left(7-4 \sqrt{41}\right)\right\},\left\{x\to \frac{1}{5} \left(7+4 \sqrt{41}\right)\right\}\right\}$
{'source': 'AMPS', 'file': 'amps/mathematica/algebra/log_equations/12192.txt'}