# Summing powers

**Number Theory**Level 4

\[\large 3^x+3^y+3^z=591219\]

Find all unordered triplets of integers \( (x,y,z)\) such that the equation above is fulfilled, and find the sum of all such \(x,y,z\).

\[\large 3^x+3^y+3^z=591219\]

Find all unordered triplets of integers \( (x,y,z)\) such that the equation above is fulfilled, and find the sum of all such \(x,y,z\).

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