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## Homework Statement

Solve for all real x: (x^2-6x+9)^(x^2-4)=1

## Homework Equations

## The Attempt at a Solution

I raised both sides by 1/x^2-4, so got x^2-6x+9=1, solved it to get x=2,4.

It's a question from a college enterance exam sample paper, so I wondered if it could be that simple. Is my Solution correct?

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