Can $x^2 +x + 2 = 10^x$ be solved using algebra?

Question

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

Answer 1

Travis answers in a comment:

Unless there is a happy coincidence, one can typically not solve explicitly equations in one variable where the variable occurs both inside and outside a transcendental expression, at least not in terms of the usual operations and elementary functions.