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$$\frac{3}{\ln{2}-12}$$ Is this form simplified enough?

There is a number '$12$' below the fraction line, do i need to transform the $\log$ more to make it simpler?

I wrote that in a college math exam

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Simple enough for what? –  Henning Makholm Sep 25 '12 at 14:01
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Yeah,it seems like we can't make it simplier –  user42625 Sep 25 '12 at 14:02
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Whether it is simplified enough depends on what you are doing. If this is a homework answer, then it will depend on what your teacher expects, and what convensions have been set in class. If this is a part of your own research, then it depends on what additional manipulations you might need to make. It might be less ambiguous to ask if a simpler form can be found. –  flodyninja Sep 25 '12 at 14:02
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up vote 7 down vote accepted

The only complaint I can see is that it obscures the fact that it is negative, so one might prefer $\frac {-3}{12-\ln 2}$ but otherwise I don't see a simpler form. I guess you could go to $$\frac 3{\ln \frac 2{e^{12}}}= \frac 1{\ln \sqrt [3]{\frac 2{e^{12}}}}=\frac 1{\ln \frac{\sqrt [3] 2}{e^4}}$$ but I don't think this is progress.

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