Comment #3 on issue 2656 by [email protected]: Solve exp(x*log(x) - 1, x)
http://code.google.com/p/sympy/issues/detail?id=2656

Try nsolve if you are looking for a numerical solution and give it an initial guess:

    >>> sigma = 4
    >>> mu=Rational(3,2)
>>> nsolve(x * ((1.0 / sqrt(2 * pi) * x * sigma) * exp(-0.5 * (log(x) - mu)**2 / sigma**2)) + 0.5 * (1 - erf((mu - log(x))) / (sigma * sqrt(2))) - 1, 0.1)
    mpf('0.6437259335015542')

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