If `log_10 343 = 2.5353` then the least positive integer 'n' such that `7^n>10^5` is

Find the least positive integer n such that ((2i)/(1+i))^n is a positive integer.

Find the least positive integer n such that ((2i)/(1+i))^n is a positive integer.

Find the least positive integer n such that ((2i)/(1+i))^n is a positive integer.

If n is positive integer show that 9^n+7 is divisible 8

Using De Moivre's theorem, find the least positive integer n such that ((2i)/(1+i))^(n) is a positive integer.

Find the least positive integer n for which ((1+i)/(1-i))^n

Suppose x is a positive real number such that {x}, [x] and x are in the geometric progression. Find the least positive integer n such that x ^(n) gt 100. (Here [x] denotes the integer part of x and {x} = x- [x])

For every positive integer n, prove that 7^n-3^n is divisible by 4.

Prove that 2^n > n for all positive integers n.

Let S(M) denote the sum of the digits of a positive integer M written in base 10. Let N be the smallest positive integer such that S(N) = 2017. Find the value of S(5N + 2017)