The number of values of `n` such that `log_(n) 2^(231)` is an integer is `(n in N)`

Number of integral values of n for which the quantity (n+i)^(4) is an integer

Find number of integers n such that n^(4)-n^(2)+64 is the square of an integer.

Find the number of integers n for which (n)/(20-n) is the square of an integer.

The value of lim_(n rarr oo) n[log(n+1)-logn] is

Suppose n is a positive integer such that (n^2 + 48) is a perfect square. What is the number of such n? (n<5)

If log_(b) n = 2 and log_(n) 2b = 2 , then find the value of b.

If N^(2)-33, N^(2)-31 and N^(2)-29 are prime numbers, then what is the number of possible values of N, where N is an integer?