# Rearrange Euler's identity to isolate i

## Homework Statement

Maybe this is not possible because i does not represent anything quantile and is merely abstract? I'm not sure and maybe you guys can help!

## Homework Equations

$$e^{i \pi} + 1 = 0$$

## The Attempt at a Solution

$$e^{i \pi} + 1 = 0$$

$$e^{i \pi} = -1$$

You cannot take natural log of a negative number so where do I go from here?

$$ln(e^{i \pi})=ln(-1)$$

$$i \pi=ln((-1))$$

$$i=\frac{ln(-1)}{\pi}$$

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You would have to take the complex logarithm, which is a subtle little thing.