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# Unable to solve a nonlinear set of equations with Solve

I'm trying to solve the following equation using Mathematica 9.0.1.0 :

Solve[E^(-σ τ) k (1 + T σ)^-n == Subscript[M, 0] &&
2*E^(-σ τ) k (1 + T σ)^(-1 - n) (n T + τ + T σ τ) ==
Subscript[M, 1] &&
1/2 E^(-σ τ) k (1 + T σ)^(-2 - n) (n T^2 + n^2 T^2 + 2 n T τ +
2 n T^2 σ τ + τ^2 + 2 T σ τ^2 +
T^2 σ^2 τ^2)*6 == Subscript[M, 2] &&
k (-(1/6) E^(-σ τ) n (1 + n) (2 + n) T^3 (1 + T σ)^(-3 - n) -
1/2 E^(-σ τ) n (1 + n) T^2 (1 + T σ)^(-2 - n) τ -
1/2 E^(-σ τ) n T (1 + T σ)^(-1 - n) τ^2 -
1/6 E^(-σ τ) (1 + T σ)^-n τ^3) == Subscript[M, 3], {k, T,
n, τ}]


Mathematica outputs the following error:

Solve::nsmet: This system cannot be solved with the methods available to Solve. >>


And when I try to use "SolveAlwyas" instead of "Solve" I get the following errors :

Solve::incnst: Inconsistent or redundant transcendental equation. After reduction, the bad equation is 1-((1+T σ)^n)^(1/n) == 0. >>
Solve::incnst: Inconsistent or redundant transcendental equation. After reduction, the bad equation is -1+((1+T σ)^n)^(1/n) == 0. >>
Solve::incnst: Inconsistent or redundant transcendental equation. After reduction, the bad equation is 1-((1+T σ)^(-1-n))^(1/(-1-n)) == 0. >>
General::stop: Further output of Solve::incnst will be suppressed during this calculation. >>


This system can be solved.

Is there any way to solve this equations with Mathematica without giving numerical values to the parameters ?