Question

13. If 25^n-1 + 100 = 5^2n-1, then the value of ‘n’ is
​

Answer 1

We have ,

25^n−1+100=5^2n−1

Or, 5^2n−2+100=5^2n−1

Or, 5^2n−15+100=5^2n−1

Let, 5^2n−1=t

therefore, t/5+100=t

Or, 4t/5=100

Or, t=125

So, we get —

5^2n−1=5^3

Or, 2n−1=3

Or, 2n=4

Or, n=2

therefore, n=2