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Verified answer
5^(x + 2) - 25^(x + 1) = 5005² . 5^x - 5^2x . 5^2 - 500 = 0 ... ( : -25)
(5^x)² - 5^x + 20 = 0
(5^x - 5)(5^x + 4) = 0
5^x = 5 ---> x = 1