How do you simplify # ln 0#? Precalculus Properties of Logarithmic Functions Natural Logs 1 Answer George C. Feb 21, 2016 Answer: #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 What is the natural log of e? What is the natural log of 2? How do I do natural logs on a TI-83? How do I find the natural log of a fraction? What is the natural log of 1? What is the natural log of infinity? Can I find the natural log of a negative number? How do I find a natural log without a calculator? How do I find the natural log of a given number by using a calculator? How do I do natural logs on a TI-84? See all questions in Natural Logs Impact of this question 1866 views around the world You can reuse this answer Creative Commons License