Question

please answer this question for me ,I want it now. it's urgent​

Answer 1

Answer:

x = 3

Step-by-step explanation:

Given :

To solve for x, if $5^{2x - 1} - 25^{x - 1} = 2500$

Solution :

We know that,

5² = 25

Hence,

we can rewrite the equality as,

$5^{2x - 1} - 25^{x - 1} = 2500$

⇒ $5^{2x - 1} - 5^{2(x - 1)} = 2500$

⇒ $5^{2x - 1} - 5^{2x - 2} = 2500$

⇒ $5^{2x - 2} \times 5 - 5^{2x - 2} \times 1 = 2500$

⇒ $5^{2x - 2} \times (5 - 1) = 2500$

⇒ $5^{2x - 2} \times 4 = 2500$

⇒ $5^{2(x - 1)}  = \frac{2500}{4}$

⇒ $25^{(x - 1)}  = 625$

⇒ $25^{(x - 1)}  = 25^2$

⇒ $(x - 1) = 2$

⇒ $x = 3$