Question

Which of the following is the solution to the equation 25^(z + 2) = 125 ?

Answer 1

25 = 5^2

125 = 5^3

so to substitute...

5^2(z+2) = 5^3

2(z+2) = 3

2z + 4 = 3

2z = -1

z = -1/2

got it?

Answer 2

Thank you!!!!

Answer 3

You can also, equivalently, take \(\log_{5}\) of both sides. It results in the equation \(2(z+2)=3\).