Problem:
Find all real solutions to $6^{7 \sqrt{5}-2 \sqrt{5} x}6^{8 \sqrt{5}-2 \sqrt{5} x} = 36^{3 \sqrt{5}-8 \sqrt{5} x}$
Answer:
$\left\{\left\{x\to -\frac{3}{4}\right\}\right\}$
{'source': 'AMPS', 'file': 'amps/mathematica/algebra/exponential_equations/16995.txt'}