Which of the following is the solution to the equation 25^(z − 2) = 125?
z = 5.5
z = 3.5
z = −2.5
z = −0.5
I thought it would've been -2.5, but when I did the math I got POSITIVE 2.5, so I'm kinda stuck :/

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 :)

typically if you want , you would actually put questions here for us to you. but hey, that's just me. maybe someone will magically answer the questions for you without knowing what they are.

the answer is d

step-by-step explanation: