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

[JEE Main 2025, 22 Jan (Shift 1)]

Question

The product of all real solutions of the equation ${e}^{5{\left({\log }_{e}x\right)}^{2}+3}={x}^{8},x>0,$ is: [JEE Main 2025, 22 Jan (Shift 1)]

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