3, If m & n are positive integers such that `m^2 + 2n = n^2 + 2m + 5`,then the value of n is

3.If m o* n are positive integers such that m^(2)+2n=n^(2)+2m+5, then the value of n is

If m and n are positive integers such that m^(n) = 1331 , then what is the value of ( m-1)^(n-1) ?

If m,n are the positive integers (n gt 1) such that m^n = 121 , then value of (m-1)^(n +1) is :

If m and n are positive integers such that (m-n)^(2)=(4mn)/((m+n-1)) , then how many pairs (m, n) are possible?

If m and n are positive integers and (2^(18))(5^m) = (20^n) , what is the value of m?

If m = 3 and n = 2 find the value of m^n-n^m

If m and n are two integers such that m = n^(2) - n , then (m^(2) - 2m) is always divisible by

If m and p are positive integer and (2sqrt(2))^(m)=32^(n) , what is the value of (p)/(m) ?

If m and n are +ve integers such that (m+n)P_(2)=90 and m-np_(2)=30, the number of ordered pairs (m,n) of such integers is