Problem:
Find all real solutions to $\frac{\log \left(x+\frac{11}{3}\right)}{\log (3)}+\frac{\log \left(\frac{40 x}{3}\right)}{\log (3)}=\frac{\log (-16 x-8)}{\log (3)}$
Answer:
$\left\{\left\{x\to \frac{1}{30} \left(-73-\sqrt{4789}\right)\right\},\left\{x\to \frac{1}{30} \left(-73+\sqrt{4789}\right)\right\}\right\}$
{'source': 'AMPS', 'file': 'amps/mathematica/algebra/log_equations/23375.txt'}