Question

Which of the following is the solution to the equation square root of 5^8n = 125^(n + 2) ?
Choose one answer.
a. n = -2
b. n = 2
c. n = -6
d. n = 6

Answer 1

since \(125=5^3\) you can start with
\[5^{8n}=5^{3n+6}\]

Answer 2

and then go to
\[8n=3n+6\] and solve for \(n\)

Answer 3

I have tried everything i can't do it I can't figure it out

Answer 4

although i don't see the correct answer in your choices. was the original problem
\[5^{8n}=125^{n+2}\]?

Answer 5

nope its was the sqrt of 5 then ^8n

Answer 6

oooooooooooooooh ok

Answer 7

\[\sqrt{5}^{8n}=5^{4n}\]