Question

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Answer 1

refer the pic..
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Answer 2

$Given : (5)^{2x - 1} - (25)^{x - 1} = 2500$

$(5)^{2x-1} - (5^2)^{x - 1} = 2500$

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

$5^{2x - 2} (5 - 1) = 2500$

$5^{2x - 2} (4) = 2500$

$5^{2x - 2} = \frac{2500}{4}$

$5^{2x - 2} = 625$

$5^{2x - 2} = 5^4$

2x - 2 = 4

2x = 6

x = 3.


Therefore the value of x = 3.


Hope this helps!