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Are some equations unsolvable?


Hi,
This is what I have:

f = (1/(sigma*Sqrt[2 Pi]))*Sqrt[(Pi/(-1/(2*sigma^2)))]*
  Exp[((m/sigma^2)^2)/4*(-1/2*sigma^2) + (m^2/(2*sigma^2))]

Solve[f == 216, sigma]

And I get this message: "This system cannot be solved with the methods available to Solve" 

Is it because there is no way to isolate sigma? Or am I doing something wrong?

Thanks



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