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

Answer 1

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