Which of the following is the solution to the equation 25^(z − 4) = 125? A.) z = 5.5 B.) z = 3.5 C.) z = −2.5 D.) z = −0

Question

Which of the following is the solution to the equation 25^(z − 4) = 125?
A.) z = 5.5
B.) z = 3.5
C.) z = −2.5
D.) z = −0.5

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Thu Thủy 5 years 2021-08-13T17:47:38+00:00 1 Answers 25 views 0

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  1. RuslanHeatt
    0
    2021-08-13T17:49:28+00:00
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    Answer:

    5.5

    Step-by-step explanation:

    Given the equation 25^(z − 4) = 125, this can also be written as;

    5^{2(z-4)} = 5^3\\2(z-4) = 3\\2z - 8 = 3\\2z = 3+8\\2z = 11\\z = 11/2\\z = 5.5

    Hence the value of z is 5.5

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