Which effect occurs when applying a log transformation to a feature with a heavy right-skew and a very small constant offset?

Question

Data Science — Hard

Which effect occurs when applying a log transformation to a feature with a heavy right-skew and a very small constant offset?

Accepted Answer

Log transformation is a concave function that compresses large values (the right tail) more than small values. When a small constant offset is used (e.g., log(x + c)), it ensures that values close to zero are shifted into a range where the log function is defined and sensitive, effectively stretching the lower end of the distribution while pulling in the extreme outliers of the right tail.