Question

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


z = 5.5
z = 3.5
z = -2.5
z = -0.5

Answer 1

\[25^{z + 2} = 125\]\[5^{2(z + 2)} = 5^3\]\[2(z+2) =3\]
Can you solve it?

Answer 2

im not sure how? :/

Answer 3

multiply (z+2) by 2, what do you get of the left side?

Answer 4

2z+4?

Answer 5

Yes, now you have
2x+4 =3
Can you solve this?

Answer 6

i dont know the next step sorry

Answer 7

Subtract 4 from both sides, what do you get?

Answer 8

2x=-1

Answer 9

Yes, now, divide both sides by 2, what do you get?

Answer 10

-0.5

Answer 11

Yes :D

Answer 12

thank you :D

Answer 13

Welcome!!!

Answer 14

hey can i ask you something

Answer 15

Yes?

Answer 16

i get all the steps but i was just wondering how u got 52(z+2)=53
2(z+2)=3 that part i didn't understand.

Answer 17

\[25 = 5 \times 5 = 5^2\]and \[125 = 5 \times 5 \times 5 =5^3\]

Answer 18

ohhhhhhhh ok now i get it :]

Answer 19

thanks

Answer 20

And the question is
\[25^{z+2} = 125\]So, \[(5^2)^{z+2} = 5^3\]By properties of exponential functions, \[5^{2(z+2)} = 5^3\]

Answer 21

Welcome!~