Problem:
Find all real solutions to $\frac{\log (x-24)}{\log (9)}+\frac{\log (12-9 x)}{\log (9)}=\frac{\log (-x-10)}{\log (9)}$
Answer:
$\left\{\left\{x\to \frac{1}{18} \left(229-\sqrt{42433}\right)\right\},\left\{x\to \frac{1}{18} \left(229+\sqrt{42433}\right)\right\}\right\}$
{'source': 'AMPS', 'file': 'amps/mathematica/algebra/log_equations/22989.txt'}