# Where is complex Log continuous

Write down the biggest subset $D$ of $\mathbb C$ on which ${\rm Log(z)}$ is a continuous function. Explain why ${\rm Log(z)}$ is not continuous at points outside $D.$

Anyone know the answer to this?

-
Related... –  Ｊ. Ｍ. Apr 18 '12 at 14:35
My answer here: math.stackexchange.com/questions/88341/… might help... –  Isaac Solomon Apr 18 '12 at 14:38

Answer: $D$ is the complex plane minus the non-positive reals.