Is it worth doing a log normalization on the image?

So someone told me to do log normalization on an image.Basically i have to do this on an image

https://in.mathworks.com/help/stats/lognormal-distribution.html

The image and its result is enclosed.This makes me believe,is it worth doing log normalization.

I simply did the foll

I->image

I=im2double(I)

I=log2(I)