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anthonylund311
28.03.2020 •
Mathematics
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 :/
Solved
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Ответ:
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 :)
Ответ:
8.48528137424
Step-by-step explanation: