Problem:
Find all real solutions to $\frac{\log (x-10)}{\log (3)}+\frac{\log (18 x+21)}{\log (3)}=\frac{\log (24-3 x)}{\log (3)}$
Answer:
$\left\{\left\{x\to \frac{1}{3} \left(13-\sqrt{286}\right)\right\},\left\{x\to \frac{1}{3} \left(13+\sqrt{286}\right)\right\}\right\}$
{'source': 'AMPS', 'file': 'amps/mathematica/algebra/log_equations/24885.txt'}