Question

if 25^n-1+100=5^2n-1 , then find the value of n​

Answer 1

Step-by-step explanation:

25^n−1+100=5^2n−1

⟹5^2n−2+100=5^2n−1

⟹5^2n−15+100=5^2n−1

Let, 5^2n−1=t

∴5t+100=t

⟹4t=100

⟹t=25

So, we get —

5^2n−1=53

⟹2n−1=3

⟹2n=4

∴n=2