Complex Exponential Equation

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Created by userPetter Lidberg with Mathify.dev

The animation demonstrates the step-by-step algebraic solution to the complex equation e2z−4ez+3=0e^{2z} - 4e^z + 3 = 0, showing how to factor it into two solution families: z=2πikz = 2\pi i k and z=ln⁡(3)+2πikz = \ln(3) + 2\pi i k. It concludes by visualizing these solutions as two vertical columns of points in the complex plane and verifying the results numerically.