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Discussion Response Post to:
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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5 Sep 2007 19:24:07 IST
Subject:
Re:LOGARITMS:- if x=e^y-e^-y/e^y+e^-y. show that y=1/2log1+x/1-x to the base e
nadeemoidu
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Blazing goIITian
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x= (e
y
- e
-y
)/( e
y
+ e
-y
)
=> 1/x = ( e
y
+ e
-y
)/(e
y
- e
-y
)
=> (1+x) / (1-x) = (e
y
)/( e
-y
) = e
2y
=> log(1+x) / (1-x) = 2y
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