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 `a=2\ x=a^((log)_5 25)&\ c=sqrt(2)` , then `b` is- a.`2` b. `\ 16` c.`\ 12` d. `2`

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

Differentiate the following w.r.t.x. log(x+sqrt(a^(2)+x^(2)))

Let (x_0, y_0) be the solution of the following equations: (2x)^(ln2)=(3y)^(ln3) , 3^(lnx)=2^(lny) Then x_0 is (a) 1/6 (b) 1/3 (c) 1/2 (d) 6

Differentiate the following w.r.t. x: cos (log x+ e^(x)), x gt 0