Book Maths Puzzle Algebra

What is x^2 = 2^x.

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I need a refresher in order to work with linear equations, please help! The problem I am trying to solve is:
x=y+3
Y=3-x
Could this be the answer? 5= 2+3 and 2= 3-1 find the vertex of the parabola: y=4x^2-8x+5