SOLUTION: {{{4^(2x+4)=16^(3x+6)}}}

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: {{{4^(2x+4)=16^(3x+6)}}}      Log On


   



Question 135497: 4%5E%282x%2B4%29=16%5E%283x%2B6%29
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
4%5E%282x%2B4%29=16%5E%283x%2B6%29
:
We also write 16 as 4^2 so we have:
4%5E%282x%2B4%29=4%5E%282%283x%2B6%29%29
:
4%5E%282x%2B4%29=4%5E%286x%2B12%29
therefore:
2x + 4 = 6x + 12
:
4 - 12 = 6x - 2x
:
-8 = 4x
:
x = -8/4
:
x = -2
:
Check solution in original equation