SOLUTION: Solve the given equation for X: 4x^8 ----- = 16,384 x^12 Write your answers in ascending order. x = ___ , ___ Please help, I've not done a problem like this for

Algebra ->  Exponents -> SOLUTION: Solve the given equation for X: 4x^8 ----- = 16,384 x^12 Write your answers in ascending order. x = ___ , ___ Please help, I've not done a problem like this for       Log On


   

Question 344255: Solve the given equation for X:
4x^8
----- = 16,384
x^12

Write your answers in ascending order.
x = ___ , ___

Please help, I've not done a problem like this for years, I've forgotten the methods to get the correct answers.

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
4x%5E18%2Fx%5E12+=+16384
x%5E18%2Fx%5E12+=+x%5E%2818-12%29+=+x%5E6
--> 4x%5E6+=+16384
x%5E6+=+4096+=+2%5E12
Either way, x+=+4096%5E%281%2F6%29
or x+=+2%5E2
x = 4 is the principal answer
-----------------
x%5E6+=+4096 has 6 answers
x = 4 or x = -4 are the most obvious