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Answer:
x = 1.5 +√(e+2.25) ≈ 3.728964
Step-by-step explanation:
Taking the antilog, you have ...
x(x -3) = e
x^2 -3x = e
x^2 -3x +2.25 = e+2.25 . . . . . add (3/2)^2 to complete the square
(x -1.5)^2 = e +2.25 . . . . . . . . . write as a square
x -1.5 = √(e +2.25) . . . . . . . . . only the positive square root is a solution
x = 1.5 +√(e+2.25) ≈ 3.728964
