How do you simplify $ln 0$ ?

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Answer 1 · 2016-02-21T09:45:28

$ln 0$ is undefined, always.

If $a = ln 0$ then $e^a = 0$ , but $e^z != 0$ for all numbers $z$ , whether Real or Complex.

In fact, the range of $e^z:CC -> CC$ is $CC "\" { 0 }$ , so $0$ is the only number which does not have a logarithm.

How do you simplify ln 0 ln 0?