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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