SOLUTION: My problem says to: Solve 8^(x+8) = 32^x I would appreciate your help! Thank you very much :)

Algebra ->  Equations -> SOLUTION: My problem says to: Solve 8^(x+8) = 32^x I would appreciate your help! Thank you very much :)      Log On


   

Question 198161: My problem says to:
Solve
8^(x+8) = 32^x
I would appreciate your help! Thank you very much :)
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
8%5E%28x%2B8%29+=+32%5Ex
Note that 2%5E3+=+8 and
2%5E5+=+32
%282%5E3%29%5E%28x%2B8%29+=+%282%5E5%29%5Ex
In general:
%28a%5Eb%29%5Ec+=+a%5E%28b%2Ac%29
2%5E%283%2A%28x%2B8%29%29+=+2%5E%285x%29
Clearly, the exponents must be equal
3%2A%28x%2B8%29+=+5x
3x+%2B+24+=+5x
2x+=+24
x+=+12