I know this can be solved by numerical methods but I would like to know whether this can be solved using logs or something similar.
Thanks
2026-03-29 15:14:42.1774797282
is there any solution for $x^2 +x + 2 = e^x$ by using algebra?
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No, such equations have not an algebraic answer. However, you can solve this by using log.
just $Log_e$ both side, simplify and divide you'll have log(x^2+x+2) = x etc it should be after that. in addition, remember the log addition rules!