Question

• If 25x-1=5 2x-1
The value of
of x​

Answer 1

I guess the question is: If 25x−1=52x−1−100 , then what is the value of x?

If so, the answer is as follows:

Let 52x=y

25x−1=52x−2=52x52=y25

52x−1=52x.5−1=y5

Given: 25x−1=52x−1−100

⟹y25=y5−100

⟹y5−y25=100

⟹5y−y25=100

⟹y=25∗1004=625=54

⟹y=52x=54⟹x=2

Ans: x = 2