Question

If 5^2x-1 – (25)^x-1 =2500, find the value of x.​

Answer 1

Solution:

X=3

Explaination:

5^(2x-1)-25(x-1)=2500

5^(2x-1)-5^(2x-2)=(5^2)×(5^2)×(2^2)

5^(2x-1)[1-5^(-1)]=(5^4)×(2^2)

5^(2x-1)=5^5

2x-1=5

2x=5+1

2x=6

x=6/2

x=3