Answer:
x = 3 or x = -1
Step-by-step explanation:
25^x = 5^(x^2 - 3)
<=> (5^2)^x = 5^(x^2 - 3)
<=> 5^(2x) = 5^(x^2 - 3)
<=> 2x = x^2 - 3
<=> x^2 - 2x - 3 = 0
<=> x^2 + x - 3x - 3 = 0
<=> x(x + 1) - 3(x + 1) = 0
<=> (x - 3)(x + 1) = 0
<=> x = 3 or x = -1
I hope this helps!
