Problem:
Find all real solutions to $\frac{\log (x-13)}{\log (7)}+\frac{\log (22 x-14)}{\log (7)}=\frac{\log (24 x-17)}{\log (7)}$
Answer:
$\left\{\left\{x\to \frac{1}{22} \left(162-29 \sqrt{26}\right)\right\},\left\{x\to \frac{1}{22} \left(162+29 \sqrt{26}\right)\right\}\right\}$
{'source': 'AMPS', 'file': 'amps/mathematica/algebra/log_equations/10553.txt'}