What is the answer to 5^{2n-1}-25^{n-1}=100 ?

The answer to 5^{2n-1}-25^{n-1}=100 is n=2

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5^{2n-1}-25^{n-1}=100

5^{2 n - 1} - 2 5^{n - 1} = 100

n = 2

Solution steps

5^{2 n - 1} - 2 5^{n - 1} = 100

Apply exponent rules

2 n = 4

Solve

2 n = 4 : n = 2

n = 2

3^{x} - 3^{x - 2} = 8

e^{2 x} - e^{x} = 1

e^{2 x} - e^{x} = 0

1 + 7^{1} + 7^{2} + 7^{3} = k^{r}

\frac{625}{5 ^{x}} = 5

What is the answer to 5^{2n-1}-25^{n-1}=100 ?
The answer to 5^{2n-1}-25^{n-1}=100 is n=2
Solve for n: 5^{2n-1}-25^{n-1}=100
The solution is n=2