The value of `((1)/(log_((pq))x)+(1)/(log_((q,r))x)+(1)/(log_((rp))x))` is

(1)/(log_((a)/(b))x)+(1)/(log_((b)/(c))x)+(1)/(log_((c)/(a))x) is equal to:

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

log_(2)(x^(2)-1)=log_((1)/(2))(x-1)

The value of x,log_((1)/(2))x>=log_((1)/(3))x is

(1)/(log_(2)x)+(1)/(log_(3)x)+......(1)/(log_(43)x)=(1)/(log_(43)!x)

The value of 1+(log_(e)x)+(log_(e)x)^(2)/(2!)+(log_(e)x)^(3)/(3!)+…infty

The value of 1+(log_(e)x)+(log_(e)x)^(2)/(2!)+(log_(e)x)^(3)/(3!)+…infty

Let P=(5)/((1)/(log_(2)x)+(1)/(log_(3)x)+(1)/(log_(4)x)+(1)/(log_(5)x))and (120)^(P)=32 , then the value of x be :