Can 1^x=2?

Is it possible to have 1^x=2? We know that 1 to any power is 1 so does that mean the exponential equation 1^x=2 really has no solutions? While WolframAlpha didn't provide a solution for this exponential equation, maybe we can still try to find some complex solutions. This is a very interesting equation and we will see how to solve it! #equationoftheyear

This is my equation of the year in 2021.
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