Answer:
The answer is z=3.5
Step-by-step explanation:
I'm not sure how you solved it but here is what I did:
25^(z-2)=125
Get the same base for both
(5²)⁽ˣ⁻²⁾=5³
Then you apply the exponent rule to combine
5²ˣ⁻⁴=5³
Since the bases are the same the exponents have to be the same thus:
2x-4=3
2x=7
x=7/2
x=3.5
I hope this helps :)