Help meeeeeeeeeeeee.

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

Question

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

rsadhvika · Answer

write 125 as 5^3

anonymous · Answer

okay..then what?

rsadhvika · Answer

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

anonymous · Answer

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

rsadhvika · Answer

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

rsadhvika · Answer

$\large 5^{8n\times \frac{1}{2}}  = 5^{3(n+3)} $

$\large 5^{4n}  = 5^{3(n+3)} $

rsadhvika · Answer

since bases are equal, you can set the exponents equal

rsadhvika · Answer

$4n = 3(n+3) $

rsadhvika · Answer

you can solve n now ?

anonymous · Answer

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