Home
Class 11
MATHS
If f(x)=loge((1-x)/(1+x)); prove that f(...

If `f(x)=log_e((1-x)/(1+x));` prove that `f(a)+f(b)=f((a+b)/(1+a b))`

Promotional Banner

Similar Questions

Explore conceptually related problems

If f(x)=log_(e)((1-x)/(1+x)); prove that f(a)+f(b)=f((a+b)/(1+ab))

If f(x)=log((1-x)/(1+x)) , show that f(a)+f(b)=f((a+b)/(1+ab))

If f (x) = log_e ((1+x)/(1-x)) , prove that: f (x) +f (y)= f ((x+y)/(1+xy)) .

If f(x) = log_e ((1-x)/(1+x)) , then prove that f(x) + f(y) = f((x + y)/(1 + xy))

If : f(x) =log ((1+x)/(1-x)), then show that f(a)+f(b)=f ((a+b)/(1+ab)) and 2f(x)=f ((2x)/(1+x^2)).

If f(x) = log_e ((1-x)/(1+x)) , then f' (0) is

If f(x) = log_e ((1+x)/(1-x)) , prove that f((2x)/(1+x^2))=2f(x) .

If f(x)=log_e.(1+x)/(1-x) , show that f((2x)/(1+x^2))=2f(x) .

If f(x)=log_(e)x, then prove that :f(xyz)=f(x)+f(y)+f(z)