Problem:
Find all real solutions to $\frac{\log (x+8)}{\log (5)}+\frac{\log \left(\frac{3 x}{2}-\frac{1}{2}\right)}{\log (5)}=\frac{\log \left(\frac{35 x}{2}+7\right)}{\log (5)}$
Answer:
$\left\{\left\{x\to \frac{1}{3} \left(6-\sqrt{102}\right)\right\},\left\{x\to \frac{1}{3} \left(6+\sqrt{102}\right)\right\}\right\}$
{'source': 'AMPS', 'file': 'amps/mathematica/algebra/log_equations/2345.txt'}