i^1=i, i^2=1, i^3=-i, i^4=1, i^5=i, ...
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 Published On Jan 12, 2021

We know the powers of the imaginary unit i are: i^1=i, i^2=1, i^3=-i, i^4=1, i^5=i, ...
But will we ever get a power x so that i^x=2? Here we will use the complex logarithm, Euler's formula, and at the end, we will also solve x^i=2. Enjoy!

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