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Logarithm question

2025 · 22 Jan · Shift 1 · Q31

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JEE Main
Mathematics
Logarithm
2025 · 22 Jan · Shift 1 · Q31

Logarithm question

2025 · 22 Jan · Shift 1 · Q31

JEE MainMathematicsLogarithmMCQ+4 / −1

The product of all solutions of the equation

\mathrm{e}^{5\left(\log _{\mathrm{e}} x\right)^2+3}=x^8, x\gt 0

, is :

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

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