Summing the integers.

Algebra Level 4

Findthesumofallintegralrootsof(log5x)2+log5x5x=1Find\quad the\quad sum\quad of\quad all\quad integral\quad roots\quad of\quad \\ { \left( \log _{ 5 }{ x } \right) }^{ 2 }+\log _{ 5x }{ \frac { 5 }{ x } } =1

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