## logarithm stumper

Complex numbers, rational functions, logarithms, sequences and series, matrix operations, etc.
QM deFuturo
Posts: 15
Joined: Wed Aug 05, 2009 8:40 am
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### logarithm stumper

I found this puzzle on another site and spent several hours on it, and am utterly humbled by it! I don't even know if it is really solvable, but I'm guessing it is and I just can't figure this out. Note, I know how to apply the change of base formula, and have tried every permutation I can think of - changing both bases to 2, or 3, or xy, or log, or ln!

Any clues would be appreciated

$2 * log_2( x - 2y) = log_3(xy),\, find\, \frac{x}{y}$

QM

AmySaunders
Posts: 34
Joined: Thu Aug 20, 2009 6:27 pm
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### Re: logarithm stumper

I tried too. Can't solve it Maybe if you just looked at it for a WHILE

stapel_eliz
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The consensus elsewhere seems to be that there is no nice algebraic solution to this equation.