Question

5^x+2=25^x-2
Find Value of x​

Answer 1

Answer:

⇒ 5^x + 2 = 25^(x - 2)

⇒ 5^x + 2 = 5^(2x)/625

Let 5^x = a

⇒ a + 2 = a^2/625

⇒ a² - 625a - 1250 = 0

⇒ a = [625 ± √(395625)]/2

⇒ a ≈ 1 or 5^4

⇒ x ≈ 0 or 4

⇒ x = 4 doesn't satisfy the equation.

Therefore, x ≈ 0