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_JEE MAIN_2021_
22-JULY-2021,S2
Question
Let $[x]$ denote the greatest integer less than or equal to $x$. Then, the values of $x \in R$ satisfying the equation $\left[\mathrm{e}^{\mathrm{x}}\right]^2+\left[\mathrm{e}^{\mathrm{x}}+1\right]-3=0$ lie in the interyal:
Select the correct option:
A
$\left[0, \frac{1}{\mathrm{e}}\right)$
B
$\left[\log _e 2, \log _e 3\right)$
C
[1, e)
D
$\left[0, \log _e 2\right)$
✓ Correct! Well done.
✗ Incorrect. Try again or view the solution.
Solution
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Mathematics
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