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Let [x] denote the greatest integer less than or equal to x. Then, the values of x ∈ R satisfying the equation [ex]2 + [ex + 1] – 3 = 0 lie in the interval :

(1) [0, 1/e)

(2) [loge2, loge3)

(3) [1, e)

(4) [0, loge2)

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