What Does e^ln|x| Equal: x or |x|?

[Red_CCF]

If I take e^ln|x|, do I get x or |x|?

 

[Mark44]

|x|

For example, if x = -1, ln(x) is undefined, but ln|x| = 0, and e^ln|x| = e^0 = 1 = |-1|

 

[Redbelly98]

e^{(any real number)} is always positive.