SOLUTION: solve the equation 4^2x+1=2^3x+6.

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Question 46644: solve the equation 4^2x+1=2^3x+6.
Found 2 solutions by adamchapman, Nate:
Answer by adamchapman(301) About Me  (Show Source):
You can put this solution on YOUR website!
4%5E%282x%29%2B1=2%5E%283x%29%2B6
2xlog4%2Blog1=3xlog2%2Blog6
log1-log6=xlog2
log%281%2F6%29=xlog2
log%281%2F6%29=xlog%282%29
x=%28log%281%2F6%29%29%2F%28log%282%29%29
x=%28log%281%2F6%29%29%2F%28log%282%29%29
x=2.585 to 3 decimal places.
I hope this helps,
Adam.
P.S. Please visit my website. It may be useful to you.
http://www.geocities.com/quibowibbler







Answer by Nate(3500) About Me  (Show Source):