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This came up in a differential equation, and I wondered if there is an algebraic way to solve this for $t$ without using WolframAlpha. Or is it a case of estimating with a power series?

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    I'm afraid it will have to be the second option: power series.2012-11-18
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    Some algebraic manipulation (let $z = 98t-980$) and the Lambert W function might do it.2012-11-18
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    @martycohen looks like I'll have to introduce myself to the Lambert W function.2012-11-18
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    Specifically, $t = 10 + 10 W(-54/(49 e))$ where $W$ is any of the branches of the Lambert $W$ function. However, none of the solutions is real.2012-11-18

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