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I'm having some trouble solving for t in the following exponential equation.
$$ B = A_1 e^{-\lambda_1 t} + A_2 e^{-\lambda_2 t} $$
I can't divide out the leading coefficients A1 and A2 because they differ. I'm not really sure how to immediately take the natural logarithm of both sides since the rhs would just become,
$$ \ln({A_1 e^{-\lambda_1 t} + A_2 e^{-\lambda_2 t}}) $$
Any help is appreciated.
$$ B = A_1 e^{-\lambda_1 t} + A_2 e^{-\lambda_2 t} $$
I can't divide out the leading coefficients A1 and A2 because they differ. I'm not really sure how to immediately take the natural logarithm of both sides since the rhs would just become,
$$ \ln({A_1 e^{-\lambda_1 t} + A_2 e^{-\lambda_2 t}}) $$
Any help is appreciated.