# Complex number is complex

Algebra Level pending

$\ln(3+4i) = \dfrac AB \ln C + i \left(2n \pi + \arctan\left( \dfrac DE \right) \right)$

If $$A,B,C,D$$ and $$E$$ are positive integers satisfying the equation above, with $$\gcd(A,B) = \gcd(D,E) = 1$$, find $$A+B+C+E$$.

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