Mathematics · 2021
JEE Main · 22 July 2021, Shift 2 · Q79
Let [x] denote the greatest integer less than or equal to x. Then, the values of x ∈ R satisfying the equation [e^x]^2+[e^x+1]-3=0 lie in the…
Let $\displaystyle [x]$ denote the greatest integer less than or equal to $\displaystyle x$. Then, the values of $\displaystyle x \in \mathbf{R}$ satisfying the equation $\displaystyle \left[e^x\right]^2+\left[e^x+1\right]-3=0$ lie in the interval :
Official answer
(3)
$\displaystyle \left[0, \log _{\mathrm{e}} 2\right)$
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JEE Main 2021 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.