Question

If 25^x-1=5^2x-1 -100 ,then find x

Answer 1

Answer:

x=2

Step-by-step explanation:

(5)^2(x-1)=(5)^(2x-1)-100

5^2x/5^2=(5^2x/5)-100

let 5^2x as k

k/25=(k/5)-100

k/5-k/25=100

(5k-k)÷25=100

4k=2500

k=625

5^2x=625

5^2x=5^4

2x=4

x=4÷2

=2