constants:

S := 299792458; Rem := 1; Imm := 0; c1 = 7.1966584528920068; c2 = -2.8612955354362528*10^(-2); c3 = 4.9904748273007211; c4 = 1.1557482550800184; c5 = 1.4462311508982122*10^4; Of = 2.9899879533823599; a0 = -4.0196213710349726*10^-1; a1 = 9.9011244036818056; a2 = 2.0237033052953829*10^-1; a3 = 4.6135432671114094; a4 = 3.3240796293189689*10^-1; a5 = -2.6267966826701428*10^-1; 

equations:

Ree[f_, wt_] =        c5/((1.0 + Exp[c1 - c2*f])*(1.0 + Exp[c3 - c4*wt])) + Of;  Ime[f_, wt_] = a0 + (a1/(1.0 + Exp[a2*(f + a3 + a4*wt + a5*f*wt)]));  El[f_, wt_] := Ree[f, wt] - I*Ime[f, wt]; Ma := Rem - I*Imm;  Z[wt_, f_, d_] :=    Sqrt[Ma/El[f, wt]]*    Tanh[I*2*Pi*f*10^9*d*(10^-3) *Sqrt[Ma*El[f, wt]]/S]; R[wt_, f_, d_] := (Z[wt, f, d] - 1)/(Z[wt, f, d] + 1); RL[wt_, f_, d_] := 20*Log10[Abs[R[wt, f, d]]]; 

My attempt to find the roots using FindRoots function was not successful:

In[1024]:=    FindRoot[RL[wt, 10, d] == -10 &&     RL[wt, 11, d] == -10, {{wt, 5, 0, 10}, {d, 5, 0, 10}}]  During evaluation of In[1024]:= FindRoot::lstol: The line search decreased the step size to within tolerance specified by AccuracyGoal and PrecisionGoal but was unable to find a sufficient decrease in the merit function. You may need more than MachinePrecision digits of working precision to meet these tolerances.  Out[1024]= {wt -> 2.99549, d -> 7.00699} 

This point is far from the solution

In[1025]:= RL[2.9954853391692704`, 10, 7.006986346111831`]  Out[1025]= -3.4359 

Please help me to solve this system of equations. “Solve” does not solve this system because of the inexact coefficients. “NSolve” return input.