SOLUTION: Solve for x. 4^5=2^(3x+2) 1024=2^(3x+2) This is the farthest I've been able to get, I'm not sure what to do next.

Algebra ->  Equations -> SOLUTION: Solve for x. 4^5=2^(3x+2) 1024=2^(3x+2) This is the farthest I've been able to get, I'm not sure what to do next.      Log On


   

Question 555432: Solve for x.
4^5=2^(3x+2)
1024=2^(3x+2) This is the farthest I've been able to get, I'm not sure what to do next.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Solve for x.
4%5E5+=+2%5E%283x%2B2%29
:
2%5E%283x%2B2%29+=+4%5E5
:
we know that 4^5 = 2^10, right"
2%5E%283x%2B2%29+=+2%5E10
:
therefore (exponents of the same number are equal)
3x + 2 = 10
3x = 10 - 2
3x = 8
x = 8%2F3
:
:
See if this flies in the original problem
4%5E5+=+2%5E%283x%2B2%29
4%5E5+=+2%5E%283%288%2F3%29%2B2%29
Cancel the 3
4%5E5+=+2%5E%288%2B2%29
We know already that
4%5E5+=+2%5E10