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This isshould be just a partial answercomment (I don't have enough points to write a comment). Using Jensen's inequality, with the equality case, you obtain that $\log \frac{dQ}{dP}$ must be constant a.e., so equal to $0$ a.e.
This is a partial answer (I don't have enough points to write a comment). Using Jensen's inequality, with the equality case, you obtain that $\log \frac{dQ}{dP}$ must be constant a.e., so equal to $0$ a.e.
This should be just a comment (I don't have enough points). Using Jensen's inequality, with the equality case, you obtain that $\log \frac{dQ}{dP}$ must be constant a.e., so equal to $0$ a.e.
This is a partial answer (I don't have enough points to write a comment). Using Jensen's inequality, with the equality case, you obtain that $\log \frac{dQ}{dP}$ must be constant a.e., so equal to $0$ a.e.
