Question

Which of the following is the solution to the equation 25^(z – 2) = 125 ?

Answer 1

Hint:

25 = 5^2

and

125 = 5^3

-------------------

So

25^(z – 2) = 125

(5^2)^(z – 2) = 5^3

5^(2(z-2)) = 5^3

Now equate the exponents to get

2(z-2) = 3

Answer 2

I'll let you finish up and solve for z

Answer 3

7/2?

Answer 4

that is 100% correct

Answer 5

z = 3.5

Answer 6

yes, 7/2 = 3.5, so they are the same thing

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