Problem:
Find all real solutions to $2^{7 \sqrt{3}-12 \sqrt{3} x}2^{\frac{2 x}{\sqrt{3}}+\frac{38}{\sqrt{3}}} = 4^{-\frac{26 x}{\sqrt{3}}-\frac{34}{\sqrt{3}}}$
Answer:
$\left\{\left\{x\to -\frac{127}{18}\right\}\right\}$
{'source': 'AMPS', 'file': 'amps/mathematica/algebra/exponential_equations/25356.txt'}