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Real Powerful Logarithms (Posted on 2008-04-04) |
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Determine all possible positive real pair(s) (A, B) that satisfy the following system of simultaneous equations:
(3A)log 3 = (8B)log 2, and:
2log A = 3log B * 4log 3
Note: For the purposes of the problem, the base of the logarithm is a positive real number > 1.
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