engineering recuitment AAI ATC Junior Executive 2025 Mock Test Series Mathematics Integral Calculus Definite Integrals

If \(\displaystyle \int_{ln\:2}^x(e^x-1)^{-1}dx=In \frac{3}{2} \), then what is the value of x?

1
e2
2
\(\frac{1}{e}\)
3
ln 4
4
1
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