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Ask iit jee aieee pet cbse icse state board community Community Discussion Question: LOGARITMS:- if x=e^y-e^-y/e^y+e^-y. show that y=1/2log1+x/1-x to the base e
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smartguymihir (0)

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Olaaa!! Perrrfect answer. 0  [0 rates]

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nadeemoidu (1184)

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Olaaa!! Perrrfect answer. 200  [292 rates]

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x= (ey - e-y)/( ey+ e-y)

=> 1/x = ( ey+ e-y)/(ey - e-y)

=> (1+x) / (1-x) = (ey)/( e-y ) = e2y

=> log(1+x) / (1-x) = 2y

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