The product of all solutions of the equation e^(5(log e x)² + 3) = x⁸, x > 0, is:

Complex Numbers and Quadratic Equations: JEE Main 2025 Mathematics question

JEE Main 2025 · January, Unspecified (session-level dataset) · Q204

JEE Main 2025January, Unspecified (session-level dataset)MathematicsMediumComplex Numbers and Quadratic Equations264× since 2002

The product of all solutions of the equation

e^{5(\log_e x)^2 + 3} = x^8

x > 0

, is:

JEE Main 2025 · January, Unspecified (session-level dataset) · Q204

JEE Main 2025January, Unspecified (session-level dataset)MathematicsMediumComplex Numbers and Quadratic Equations264× since 2002

The product of all solutions of the equation

e^{5(\log_e x)^2 + 3} = x^8

x > 0

, is: