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plot 2^(1-t) * log(1/2), (2^(-t) + 1/2) * log(2^(-t) + 1/2) from 2 to 3
plot 2^(1-t) * log(1/2), (2^(-t) + 1/2) * log(2^(-t) + 1/2) from 2 to 3
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