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JEE Math Practice Question

The product of all solutions of the equation $\mathrm{e}^{5\left(\log _{\mathrm{e}} x\right)^2+3}=x^8, x>0$, is :

  1. A.$e^2$
  2. B.$e$
  3. C.$\mathrm{e}^{6 / 5}$
  4. D.$\mathrm{e}^{8 / 5}$

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