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Although power-law transformations are considered more versatile than log transformations for compressing of gray-levels in an image, then, how is log transformations advantageous over power-law transformations?

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Although power-law transformations are considered more versatile than log transformations for compressing of gray-levels in an image, then, how is log transformations advantageous over power-law transformations?

(a) The log transformation compresses the dynamic range of images

(b) The log transformations reverses the intensity levels in the images

(c) All of the mentioned

(d) None of the mentioned

I have been asked this question in an internship interview.

The above asked question is from Basic Grey Level Transformation topic in portion Image Enhancement of Digital Image Processing

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Right answer is (a) The log transformation compresses the dynamic range of images

Explanation: For compressing gray-levels in an image, power-law transformation is more versatile than log transformation, but log transformation has an important characteristics of compressing dynamic ranges of pixels having a large variation of values.

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