If \[\int_{\log 2}^{x}{\frac{du}{{{({{e}^{u}}-1)}^{1/2}}}}=\frac{\pi }{6}\], then \[{{e}^{x}}=\] [Orissa JEE 2005]

If \[\int_{\log 2}^{x}{\frac{du}{{{({{e}^{u}}-1)}^{1/2}}}}=\frac{\pi }

1.	If \[\int_{\log 2}^{x}{\frac{du}{{{({{e}^{u}}-1)}^{1/2}}}}=\frac{\pi }{6}\], then \[{{e}^{x}}=\] [Orissa JEE 2005]
A.	1
B.	2
C.	4
D.	-1
Answer» D. -1

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If \[\int_{\log 2}^{x}{\frac{du}{{{({{e}^{u}}-1)}^{1/2}}}}=\frac{\pi }{6}\], then \[{{e}^{x}}=\] [Orissa JEE 2005]

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