Respuesta :
given
25^(z - 4) = 125
ln(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.
The solution of 25^(z - 4) = 125 is equal to a. Z = 5.5
How to solve this equation
25^(z - 4) = 125
From here we have to the ln of the equation
z-4 ln25 = ln125
z-4 (3.219)= 4.828
From here we have to multiply the equation
3.219z - 12.876 = 4.828
3.219z = 4.828 + 12.876
When we divide this equation by 3.219
We have z = 5.499
Hence z = 5.5
Therefore the solution to the equation is given as 5.5
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