# Solutions to an Exponential

Algebra Level 4

What is the sum of all integer values of $$x$$ such that

$(x^2-17x+71)^{(x^2-34x+240)} =1 ?$

Details and assumptions

$$x$$ can be a negative integer. Since the exponent is an integer, the value is still well defined.

$$0^0$$ is undefined.

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