JEE Main 2025 Mathematics question

MathematicsBasic Mathematics and LogarithmJEE Main 2025

The product of all solutions of the equation , x > 0, is :

Answer: (1)

Solution

Let t=ln x. 5t²-8t+3=0, so ln(x₁x₂) = t1+t2 = 8/5, giving x1x2 = e^(8/5).

Question ID VK-001676