Solve Error in Mathematica: Get Solution Here!

[mmmn]

Here is my code

Nl = 10^(49) ;
Nh = 100 ;
b = 4*10^(-13) ;
Rs = N[((3 Nl)/(4 Pi b Nh^2))^(1/3)];
a = 6*10^(-18) ;

Solve[x/(4 Pi r^2)  E^(-Nh a x) a Nl == (1 - x)^2 b Nh, 
x]

When I run it, it shows the error:
"Solve::nsmet: This system cannot be solved with the methods available to Solve. >>"

How can I solve this equation? Thanks.

 

[Hypersphere]

Since you have an undetermined parameter, Mathematica tries to find an analytic solution, which I don't think will work in this case. If you know the value of r, then a numerical solution is possible (assuming x is a real number).

 

[mmmn]

Since you have an undetermined parameter, Mathematica tries to find an analytic solution, which I don't think will work in this case. If you know the value of r, then a numerical solution is possible (assuming x is a real number).

Thanks for your reply. Do you know any way to plot this (x vs. r) in mathematica? x should be some value between 0 and 1, and r is a positive number.

 

[Hypersphere]

Thanks for your reply. Do you know any way to plot this (x vs. r) in mathematica? x should be some value between 0 and 1, and r is a positive number.

The Plot3D command should be useful.

 

[alphy]

Based on the error message, it seems like the equation cannot be solved using the available methods in Mathematica. This could be due to the complexity of the equation or the limitations of the Solve function.

One possible solution would be to try using a different function in Mathematica, such as NSolve or FindRoot, which may be able to find a numerical solution. Alternatively, you could try to simplify the equation or break it down into smaller parts to make it easier for Mathematica to solve.

It may also be helpful to consult the Mathematica documentation or seek assistance from other Mathematica users to find a solution to this specific equation.