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Does the number of college students per 10,000 people need logarithm?
Need.

The scale index of higher education relative to population generally refers to the number of college students per 10,000 people, and the scale index relative to economy generally refers to the number of college students per 100 million yuan of gross national product.

Usually, in some data processing, the original data will be further processed after logarithm. This is done because the logarithmic function is monotonically increasing in its definition domain, and the relative relationship of data will not be changed after taking the logarithm.