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..........

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 x=198! then value of the expression 1/(log_2x)+1/(log_3x)+...+1/(log_198 x) equals

IF x=198! then value of the expression (1)/(log_(2)x)+(1)/(log_(3)x)+...+(1)/(log_(198)x) equals

The least value of the expression 2(log)_(10)x-(log)_x(0.01)dot for x >1 is

The value of x satisfies the equation (1-2(log x^(2)))/(log x-2(log x)^(2))=1

If n >1,t h e np rov et h a t 1/((log)_2n)+1/((log)_3n)++1/((log)_(53)n)=1/((log)_(53 !)n)dot

If n >1,t h e np rov et h a t 1/((log)_2n)+1/((log)_3n)++1/((log)_(53)n)=1/((log)_(53 !)n)dot

If x_(n)gt1 for all n in N , then the minimum value of the expression log_(x_(2))x_(1)+log_(x_(3))x_(2)+...+log_(x_(n))x_(n-1)+log_(x_(1))x_(n) is

If x_(n)gt1 for all n in N , then the minimum value of the expression log_(x_(2))x_(1)+log_(x_(3))x_(2)+...+log_(x_(n))x_(n-1)+log_(x_(1))x_(n) is