MATLAB: Solve non-linear equation with varying value

loopnonlinear

I have a equation to solve
exp(-10*z)-9*exp(-2*z)+(8-4*x)=0
here 
x=linspace(0,1,101)
Since the equation itself would change to a new equation for each x, i am unable to figure out how to solve it. I need to solve for z. Can somebody suggest an approach to this.

Best Answer

x=linspace(0,1,101);
Result=cell(1,numel(x)); % preallocate
for i = 1:numel(x)
Result{i}=fzero(@(z) exp(-10*z)-9*exp(-2*z)+(8-4*x(i)),[0 5]);
                                                    %   ^^^--initial guess interval
end
celldisp(Result)
[Result{:}] % double array
Gives:
>> [Result{:}]
ans =
  Columns 1 through 7
         0    0.0049    0.0096    0.0142    0.0187    0.0231    0.0274
  Columns 8 through 14
    0.0316    0.0357    0.0398    0.0438    0.0477    0.0517    0.0555
  Columns 15 through 21
    0.0594    0.0632    0.0670    0.0707    0.0744    0.0782    0.0818
  Columns 22 through 28
    0.0855    0.0892    0.0928    0.0964    0.1001    0.1037    0.1073
  Columns 29 through 35
    0.1109    0.1145    0.1181    0.1217    0.1252    0.1288    0.1324
  Columns 36 through 42
    0.1360    0.1396    0.1432    0.1468    0.1504    0.1540    0.1576
  Columns 43 through 49
    0.1612    0.1648    0.1685    0.1721    0.1758    0.1794    0.1831
  Columns 50 through 56
    0.1868    0.1905    0.1942    0.1979    0.2016    0.2054    0.2091
  Columns 57 through 63
    0.2129    0.2167    0.2205    0.2244    0.2282    0.2321    0.2359
  Columns 64 through 70
    0.2398    0.2438    0.2477    0.2517    0.2556    0.2596    0.2637
  Columns 71 through 77
    0.2677    0.2718    0.2759    0.2800    0.2842    0.2883    0.2925
  Columns 78 through 84
    0.2968    0.3010    0.3053    0.3096    0.3140    0.3183    0.3227
  Columns 85 through 91
    0.3272    0.3317    0.3362    0.3407    0.3453    0.3499    0.3545
  Columns 92 through 98
    0.3592    0.3640    0.3687    0.3735    0.3784    0.3833    0.3882
  Columns 99 through 101
    0.3932    0.3982    0.4033
>>
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