Solve \( \sqrt{\log _{x}(a x)^{1 / 5}+\log _{a}(a x)^{1 / 5}} \) \[ +\sqrt{\log _{a}\left(\frac{...

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Solve \( \sqrt{\log _{x}(a x)^{1 / 5}+\log _{a}(a x)^{1 / 5}} \)
\[
+\sqrt{\log _{a}\left(\frac{x}{a}\right)^{1 / 5}+\log _{x}\left(\frac{a}{x}\right)^{1 / 5}}=a .
\]
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