Given:
25^(n-1) * 100 = 5^(2n-1)

To find:
The value of n

Method:
To find the value of n, we need to equate the powers of 25 and 5 on both sides of the equation.

Step 1:
Let's rewrite the equation using the properties of exponents.
(5^2)^(n-1) * 100 = 5^(2n-1)

Step 2:
Simplify the left side of the equation using the power of a power rule.
5^(2n-2) * 100 = 5^(2n-1)

Step 3:
To simplify the equation further, we can express 100 as a power of 5.
100 = 5^2

Step 4:
Substituting the value of 100 in the equation, we have:
5^(2n-2) * 5^2 = 5^(2n-1)

Step 5:
Apply the product of powers rule on the left side of the equation.
5^(2n-2+2) = 5^(2n-1)

Step 6:
Simplify the exponents on both sides.
5^(2n) = 5^(2n-1)

Step 7:
Since the bases are the same, the exponents must be equal.
2n = 2n-1

Step 8:
Subtract 2n from both sides of the equation.
2n - 2n = 2n - 1 - 2n
0 = -1

Step 9:
The equation -1 = 0 is not true, which means there is no value of n that satisfies the equation.

Answer:
There is no value of n that satisfies the given equation.