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How do I rearrange the equation s=vt+v(m/b)(e^(-(b/m)t)-1) to make t the subject?

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How do I rearrange the equation s=vt+v(m/b)(e^(-(b/m)t)-1) to make t the subject?
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I don’t think there’s any algebraic method to factor out the t so you would have to resort to using the Lambert W function to calculate it.
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