I can't remember how to solve equations that have exponent and a variable in them. This is somewhat embarrassing, because this used to be really easy for me. I know that logarithms are involved I just can't remember how they are involved. Would anybody be able to help me out? Here is the equation, which needs to be solved for $\alpha$ $$ c_1(e^{-2\alpha - c_2} -\alpha + c_3) = c_4 $$ Any help is appreciated.
2026-04-13 12:33:12.1776083592
Equations with exponents
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This equation does not have solutions that can be expressed in terms of elementary functions. You'd need the Lambert W function, or solve numerically.