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Student Support Forum > General > > "Troubles with Inverse PolyLog"

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Original Message (ID '47993') By Peter Pein:
Hi Stefan, you might find [1] interesting, which can be found in the documentation center as "tutorial/NumericalEquationSolving". Following the advice of that text: In[1]:= int[x_] = Integrate[Sqrt[t]/(1 + Exp[t - x]), {t, 0, Infinity}]; x1 = x /. FindRoot[int[x] == 1, {x, 0.5}] // Chop Out[2]= 0.513628 or you could try: In[3]:= root = Log[-InverseFunction[PolyLog, 2, 2][3/2, -1/Gamma[3/2]]]; N[root, 30] // Chop Out[4]= 0.513628061824465072839630091983 hth, Peter [1]: http://reference.wolfram.com/mathematica/tutorial/NumericalEquationSolving.html