If `prod_(r=3)^26log_r(r+1)=3^x`, then find the value of x.

If sum_(r=0)^(n-1)log_(2)((r+2)/(r+1)) =prod_(r=10)^(99)log_(r) (r+1), then 'n' is equal to (A) 4 (B) 3 (C) 5 (D) 6

If x=prod_(n=1)^(2000)n , then the value of the expression, 1/(1/((log)_2x)+1/((log)_3x)++1/((log)_(2000)x))i s dot

If x=prod_(n=1)^(2000)n, then the value of the expression, (1)/((1)/(log_(2)x)+(1)/(log_(3)x)+.........+(1)/(log_(2000)x))is..........

in If the coefficient of x^(r) and x^(r+1) are equal in the expansion of (1+x)^(2n+1), then find the value of r.

If x=prod_(n=1)^(2000)n, then the value of expression,((1)/((log_(2)x))+((1)/(log_(3)x))+...............+((1)/(log_(2000)x)) (A) 2(B)3(C)1((1)/(log_(3)x))+............+((1)/(log_(2000)x))

If the coefficient of x^(r)andx^(r+1) are equal in the expansion of (1+x)^(2n+1) , then find the value of r .

if f(n,theta)=prod_(r=1)^(n) (1-tan^(2)(theta)/(2^(r))) then the value of lim_(thetato0) [lim_(ntoinfty) f(n,theta)] , (where [x] represent the greatest integer function) is

f(x)=prod_(r=1)^(5)(x+r), then f'(-5) is

If the function f:R rarr R be defined by f(x)=2x-3 and g:R rarr R by g(x)=x^(3)+5 then find the value of (fog)^(-1)(x)