Problem:
Find all real solutions to $\frac{\log (x-16)}{\log (5)}+\frac{\log (18-14 x)}{\log (5)}=\frac{\log (5 x+1)}{\log (5)}$
Answer:
$\left\{\left\{x\to \frac{1}{28} \left(237-\sqrt{39985}\right)\right\},\left\{x\to \frac{1}{28} \left(237+\sqrt{39985}\right)\right\}\right\}$
{'source': 'AMPS', 'file': 'amps/mathematica/algebra/log_equations/38306.txt'}