Problem:
Find all real solutions to $\frac{\log \left(x+\frac{49}{2}\right)}{\log (8)}+\frac{\log \left(17 x+\frac{25}{2}\right)}{\log (8)}=\frac{\log \left(14-\frac{47 x}{2}\right)}{\log (8)}$
Answer:
$\left\{\left\{x\to \frac{1}{68} \left(-905-\sqrt{739533}\right)\right\},\left\{x\to \frac{1}{68} \left(-905+\sqrt{739533}\right)\right\}\right\}$
{'source': 'AMPS', 'file': 'amps/mathematica/algebra/log_equations/23544.txt'}