Comparing two symbolic expressions

Does Mathematica provide any way to compare two symbolic expressions and find which is the greatest? For example, I want to find which is the greatest of (n – 1) + 2(n – 1) Log[2, n] or n(n – 1)/2, where n is a variable.

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You mean Log2 (with a capital L), right?
– phantomas1234
Nov 24 ’12 at 18:11

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1 Answer
1

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Reduce[(n – 1) + 2 (n – 1) Log2[n] > n (n – 1)/2, n, Reals]

Returns that the statement is true for 0 {{0.814262, 1}, {}}]; Plot[{(n – 1) + 2 (n – 1) Log2[n], n (n – 1)/2}, {n, -.2, 20}, GridLines -> {{0.814262, 1, 18.9981}, {}}]
– DavidC
Nov 25 ’12 at 1:22