transform sum of exponents

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How can we solve the equation for $r$, if $S_i$, $t_i$ are given?

$\sum S_i \cdot \exp(r \cdot t_i) = 0$

I can find approximate numerical solutions, but I would like to have a precise formula. Is it possible?

Can this equation have more then 1 solution? (Surely it may have no solutions at all)