Prove that: `1/(log_2N)+1/(log_3N)+1/(nog_4N)+…+1/(log_(2011)N)=1/(log_(2011)N)`

If n in N, prove that 1/(log_2x)+1/(log_3x)+1/(log_4x)++(1)/(log_n x)=1/(log_(n !)x)

If n>1, then prove that(1)/(log_(2)n)+(1)/(log_(3)n)+...+(1)/(log_(53)n)=(1)/(log_(53)n)

Prove that ((log)_(a)N)/((log)_(ab)N)=1+(log)_(a)b

Show that: (1)/(log_(2)n)+(1)/(log_(3)n)+(1)/(log_(4)n)+...+(1)/(log_(43)n)=(1)/(log_(43!)n)

If n>1 then prove that (1)/(log_(2)n)+(1)/(log_(3)n)+............+((1)/(log_(53)n)=(1)/(log_(53!)n)

If n=(2017)! , then what is (1)/(log_(2)n)+(1)/(log_(3)n)+(1)/(log_(4)n)+....+(1)/(log_(2017)n) equal to?

What is (1)/(log_(2)N)+(1)/(log_(3)N)+(1)/(log_(4)N)+....+(1)/(log_(100)N) " equal to "(Nne1) ?