Question

5^2x-1 - 25^x-1 = 2500​

Answer 1

Answer:

The correct problem is given here. there is no leading - in the beginning.

\begin{gathered} + 5^{2x-1} - 25^{x-1} = 2500 \\ \\ + 5^{2x-1} - 5^{2x-2} = 5^2 * 25 * 4 \\ \\ + 5^{2x-1} [1 - 5^{-1}] = 5^4 * 2^2 \\ \\ 5^{(2x-1)} \frac{4}{5} = 5^4 2^2 \\ \\ 5^{2x-1} = 5^5 \\ 2x -1 = 5 \\ x = 3 \\ \end{gathered}

+5

2x−1

−25

x−1

=2500

+5

2x−1

−5

2x−2

=5

2

∗25∗4

+5

2x−1

[1−5

−1

]=5

4

∗2

2

5

(2x−1)

5

4

=5

4

2

2

5

2x−1

=5

5

2x−1=5

x=3