Answer:
x = 4
Step-by-step explanation:
[tex] {5}^{x - 2} = 25[/tex]
Create equivalent expressions in the equation that all have equal bases.
5^x−2=25
Since the bases are the same, then two expressions are only equal if the exponents are also equal.
x −2 = 2
Move all terms not containing
x to the right side of the equation.
Add 2 to both sides of the equation.
x =2 + 2
Add 2 and 2.
x = 4
