If `|x| lt 1,` then `1/2` log `((1+x)/(1-x))` =

If |x| lt 1 then (1)/(2) log_(e)((1+x)/(1-x)) =

If f(x)=log_(e)((1-x)/(1+x)),|x| lt 1, " then " f((2x)/(1+x^(2))) is equal to

If f(x)=log_(e)((1-x)/(1+x)),|x| lt 1, " then " f((2x)/(1+x^(2))) is equal to

Statement - 1 : If x gt 1 then log_(10)x lt log_(3)x lt log_(e )x lt log_(2)x . Statement - 2 : If 0 lt x lt 1 , then log_(x)a gt log_(x)b implies a lt b .

Statement - 1 : If x gt 1 then log_(10)x lt log_(3)x lt log_(e )x lt log_(2)x . Statement - 2 : If 0 lt x lt 1 , then log_(x)a gt log_(x)b implies a lt b .

If x gt 0 , show that, log (1+x) lt x

If |x| lt 1 then coefficient of x^(2) in (log(1+x))/((1-x)^(2)) is

If |x| lt 1 then coefficient of x^(2) in (log(1+x))/((1-x)^(2)) is

If f(x) = log ((1+x)/(1-x)) , where -1 lt x lt 1 then f((3x+x^(2))/(1+3x^(2))) - f((2x)/(1+x^(2))) is equal to

If |x| lt 1 then coefficient of x^(n) in log_(10)(1-x) is