# Does taking logs of two variables increase correlation between the two?

This may be a naive question, but if I have random variables X and Y and take logs of both, would corr(log X, log Y) be greater than corr(X, Y)? Thank you in advance for your answer.

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then X and Y are perfectly correlated. but U = logX and V = log Y = log (1 + X) = log(1 + e$^U$) are not linearly related, so their correlation is less than 1.