Solve for L: Unknown Exponential Function & Plain Side

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To solve for the unknown length L in the heat transfer equation [C3/C1*L] = e^(-C2*L), the Lambert W function is necessary. The equation can be rearranged to the form C2L e^(C2L) = C1C2/C3, which is suitable for applying the Lambert W function. If the Lambert W function is not available, numerical methods can be utilized to find L. Constants C1, C2, and C3 are crucial for the calculations. This approach provides a pathway to determine L effectively.
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I am doing a heat transfer problem and I need to solve for the length of something. I have reduced the equation to this:

[C3/C1*L] = e^(-C2*L)

Find L
Where: C1, C2, & C3 are constants

Please help I am in a real bind!
 
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You need a function such as the Lambert W function. Otherwise solve numerically.

C2L e^(C2L)=C1C2/C3

is the standard form for the Lambert W function
 

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