# What is the value?

Algebra Level pending

Given the equation $${ yx }^{ x } = { x }^{ yx }$$, and knowing that $$y$$ is the smallest value for $${ \left| y \right| }^{ 2 } - 7y + 12 = 0$$, what is the value of $$x\cdot (y + 1)$$?

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