# What if we take the logarithm of $X$ ? How does skewness and kurtosis change?

Motivated by this question,

Let $$X$$ be a random variable.

What if we take the logarithm of $$X$$ ? How does skewness and kurtosis change of $$X$$ changes compared to $$\ln{X}$$ ?

• have you tried using the delta method? – Taylor Jul 20 '19 at 4:07
• @Taylor what is delta method ? – onurcanbkts Jul 20 '19 at 7:32
• minutes before the last comment I had just written another answer using it – Taylor Jul 20 '19 at 17:33