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A226278
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Decimal expansion of the number x > 1 defined by 2*log(x) = x - 1.
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0
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3, 5, 1, 2, 8, 6, 2, 4, 1, 7, 2, 5, 2, 3, 3, 9, 3, 5, 3, 9, 6, 5, 4, 7, 5, 2, 3, 3, 2, 1, 8, 4, 3, 2, 6, 5, 3, 8, 3, 2, 8, 3, 3, 6, 6, 3, 4, 0, 2, 6, 4, 7, 4, 2, 2, 2, 5, 1, 7, 8, 9, 4, 5, 4, 0, 9, 6, 6, 0, 0, 9, 5, 7, 0, 8, 2, 1, 0, 3, 8, 0, 7, 0, 6, 7, 3, 2, 9, 5, 0, 1, 8, 9, 4, 5, 0, 1, 6, 9, 7, 8, 8, 4, 0, 5
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OFFSET
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1,1
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COMMENTS
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There are two solutions to the equation 2*log(x) = x - 1: {1, 3.51286...}.
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LINKS
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FORMULA
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EXAMPLE
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x = 3.512862417252339353965475233218432653832833663402647422251789454...
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MAPLE
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Digits := 100; evalf([solve(2*ln(n)=n-1, n)]);
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MATHEMATICA
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RealDigits[x /. FindRoot[2*Log[x] == x - 1, {x, 3.5}, WorkingPrecision -> 110]][[1]]
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PROG
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CROSSREFS
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KEYWORD
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AUTHOR
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STATUS
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approved
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