Prove that `log_n(n+1)>log_(n+1)(n+2)` for any natural number `n > 1.`

Prove that log_n(n + 1) > log_(n + 1) (n + 2) , for n > 1.

Prove that (n !+1) is not divisible by any natural number between 2 and n

Prove that (n !+1) is not divisible by any natural number between 2 and n

Prove that (n !+1) is not divisible by any natural number between 2 and n

Prove that (n!+1) is not divisible by any natural number between 2 and n

Prove that (n !+1) is not divisible by any natural number between 2 and n

Prove that : (2n) ! = 2^n (n!)[1.3.5.... (2n-1)] for all natural numbers n.

Show that log_a N + log (1)/(a)N=0

Let us prove the following equality using the second principle: For any natural number n , 1 + 3 + ... + ( 2n + 1 ) = ( n + 1 )2.

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