is there any solution for $x^2 +x + 2 = e^x$ by using algebra? 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
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!
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!