The number of real solution/s of the equation \( 9^{\log _{3}\left(\log _{e} x\right)} \) \( =\l...

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The number of real solution/s of the equation \( 9^{\log _{3}\left(\log _{e} x\right)} \) \( =\log _{e} x-\left(\log _{e} x\right)^{2}+1 \) is:
(a) 0
(b) 1
(c) 2
(d) 3
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