Problem
Consider the equation \(\int_{1}^{e}\frac{(log_ex)^{1/2}}{x(a-(log_ex)^{3/2})^2}dx \) = 1, a ∈ (-∞, 0) U (1, ∞). Which of the following statements is / are true?
A No a satisfies the above equation
B An integer a satisfies the above equation
C An irrational number a satisfies the above equation
D More than one a satisfy the above equation