`log((sqrt2-1)/(sqrt2+1))`

The value of log_((sqrt(2)-1))(5sqrt(2)-7) is :

Prove that : int_(0)^(pi//2)(x)/(sin x +cos x)dx= (pi)/(4sqrt(2)) log |(sqrt(2)+1)/(sqrt(2)-1)|

Which of the following numbers are non positive? (A) 5^(log_(11)7)-7(log_(11)5) (B) log_(3)(sqrt(7)-2) (C) log_(7)((1)/(2))^(-1//2) (D) log_(sqrt(2)-1) (sqrt(2)+1)/(sqrt(2)-1)

The value of 5^((log)_(1/5)(1/2))+(log)_(sqrt(2))4/(sqrt(7)+sqrt(3))+(log)_(1/2)1/(10+2sqrt(21)) is.........

The value of 5^((log)_(1/5)(1/2))+(log)_(sqrt(2))4/(sqrt(7)+sqrt(3))+(log)_(1/2)1/(10+2sqrt(21)) is.........

Compute the following 56+(log)_(sqrt(2))4/(sqrt(7)+sqrt(3))+(log)_(1//2)1/(10+2sqrt(21))

The matrix A=[{:(1/sqrt2,1/sqrt2),((-1)/sqrt2,(-1)/sqrt2):}] is

y=log((sqrt(x+1)+1]/(sqrt(x+1)-1))

int_0^1 log(sqrt(1+x)+sqrt(1-x))dx= (A) 1/2(log2-pi/2+1) (B) 1/2(log2+pi/2+1) (C) 1/2(log2+pi/2-1) (D) none of these

For the following sequence in G.P. find the sum of infinite terms. " " (sqrt2+1)/(sqrt2-1) +(1)/(2-sqrt2)+ (1)/(2)+ ………………