`1/((log)_(sqrt(b c))a b c)+1/((log)_(sqrt(c a))a b c)+1/((log)_(sqrt(a b))a b c)` has the value of equal to:
a.`1/2` b. `1` c.`2` d. `4`

If x=1+(log)_a b c , y=1+(log)_b c a and z=1+(log)_c a b , then prove that x y z=x y+y z+z x

Comprehension 1 Let a^((log)_b x)=c\ w h e r e\ a ,\ b ,\ c\ &\ x\ are parameters. On the basis of above information, answer the following questions: If b=(log)_(sqrt(3))3, c=2(log)_bsqrt(b) and sintheta=a (where, x >1 ) then theta can be a. pi/4 b. (3pi)/2 c. pi/2 d. 0

int(log(x+sqrt(1+x^(2))))/(sqrt(1+x^(2)))dx=....+c

If a^x=b , b^y=c ,c^z=a and x=(log)_b a^2, y=(log)_c b^3,z=(log)_a c^k , where a,b, c >0 and a , b , c!=1 then k is equal to a. 1/5 b. 1/6 c. (log)_(64)2 d. (log)_(32)2

If int sqrt(2) sqrt(1+sinx)dx=-4 cos (ax+b)+c then the value of (a,b) is....

If ((log)_a N)/((log)_c N)=((log)_a N-(log)_b N)/((log)_b N-(log)_c N), where N >0 and N!=1, a , b , c >0,!=1 , then prove that b^2=a c

If a, b, c, are positive real numbers and log_(4) a=log_(6)b=log_(9) (a+b) , then b/a equals

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

If (log)_b a(log)_c a+(log)_a b(log)_c b+(log)_a c(log)_bc=3 (where a , b , c are different positive real numbers !=1), then find the value of a b c .

Value of x satifying (log)_(10)sqrt(1+x)+3(log)_(10)sqrt(1-x)=(log)_(10)sqrt(1-x^2)+2 is a. 0ltxlt1 b. -1ltxlt1 c. -1ltxlt0 d. None of this