Question

Help meeeeeeeeeeeee.






Which of the following is the solution to the equation square root of 5^8n = 125^(n + 3) ?

Answer 1

write 125 as 5^3

Answer 2

okay..then what?

Answer 3

then you will see bases are equal, so exponents also will be equal
set them equal and solve n

Answer 4

can you solve me thrugh it? i get confused on this section real easy..

Answer 5

\(\large \sqrt{5^{8n} } = 125^{(n+3)} \)

Answer 6

\(\large 5^{8n\times \frac{1}{2}} = 5^{3(n+3)} \)

\(\large 5^{4n} = 5^{3(n+3)} \)

Answer 7

since bases are equal, you can set the exponents equal

Answer 8

\(4n = 3(n+3) \)

Answer 9

you can solve n now ?

Answer 10

dude, thats way too long. here is a simpler way

5^8n =125^ n+3

5^8n =5^3(n+3)


8n=3n+9

5n=9

n= 9 / 5