How do you simplify # ln 0#?

1 Answer
George C.
Feb 21, 2016

#ln 0# is undefined, always.

Explanation:

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.

Related questions
See all questions in Natural Logs
Impact of this question
11800 views around the world
You can reuse this answer
Creative Commons License