bummer, I am often given the value of "k" but do not know at what time it happens. The only was so far is to plug and play or plot it and get a close estimate for "t". I am by far means no mathematician, but I would think there has to be a way to solve for "t" for a known value of "k". Maybe not though.
It's easy to solve for t numerically given the other values. A method like Newton's method should converge to a solution rapidly. That's probably what you really want.
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