If `25^n^(-1)+100=5^(2n)^(-1),` find the value of `ndot`

If 25^(x-1)=5^(2x-1)-100 , then find the value of x .

If (n+1)! =12xx(n-1)! , find the value of n.

If .^(n)P_(4): .^(n)P_(5) = 1:2 , find the value of n.

If (n+1)! =12 xx [(n-1)!] , find the value of n.

If ^(2n+1)P_(n-1):^(2n-1)P_(n)=3:5, then find the value of n.

If n^(2)+(1)/(n^(2))=7 .Find the value of n+(1)/(n)

If 10^(n) divides the number 101^(100) - 1 , find the greatest value of n

If the number of terms in the expansion of (1+x)^(101)(1+x^(2)-x)^(100) is n, then the value of (n)/(25) is euqal to