Which of the following is the solution to the equation 25^(z - 4) = 125 ? Select one: A. z = 5.5. B. z = 3.5. C. z = -2.5. D. z

Question

babunello [35]

3 years ago

14

Which of the following is the solution to the equation 25^(z - 4) = 125 ? Select one: A. z = 5.5. B. z = 3.5. C. z = -2.5. D. z

= -0.5.

Mathematics

2 answers:

Bogdan [553] · Answer 1 · 2022-08-10T20:35:56+03:00

Bogdan [553]3 years ago

8 0

A. z=5.5
25^(5.5-4)=125
25^(1.5)=125
125 = 125
z=5.5

cestrela7 [59] · Answer 2 · 2022-08-10T21:44:31+03:00

cestrela7 [59]3 years ago

7 0

<span>
given
25^(z - 4) = 125
ln(</span>25^(z - 4)) = ln (125)
(z-4)ln(25) = ln(125)
z = ln(125)/ln(25) + 4
z = 5.5

which means that the answer is A.