Problem:
Find all real solutions to $\frac{\log (x-7)}{\log (7)}+\frac{\log (6 x-6)}{\log (7)}=\frac{\log (19 x-18)}{\log (7)}$
Answer:
$\left\{\left\{x\to \frac{1}{12} \left(67-\sqrt{3049}\right)\right\},\left\{x\to \frac{1}{12} \left(67+\sqrt{3049}\right)\right\}\right\}$
{'source': 'AMPS', 'file': 'amps/mathematica/algebra/log_equations/40413.txt'}