Question

if
${5}^{2x - 1} - {5}^{2x - 2} = 2500$
then find x​

Answer 1

Answer:

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Answer 2

Answer:

Hii this is your answer write down in your copy.

Step-by-step explanation:

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

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