SOLUTION: Can you help me solve this. 6^(2-m)=2^(3m+1)

Question 330281: Can you help me solve this.
6^(2-m)=2^(3m+1)
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
6^(2-m)=2^(3m+1)
(2-m)*log(6) = (3m+1)*log(2)
Can you finish it?
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log(6) and log(2) are just numbers.
2log(6) - mlog(6) = 3mlog(2) + log(2)
3mlog(2) + mlog(6) = 2log(6) - log(2) = log(36) - log(2) = log(18)
m*(3log(2) + log(6)) = log(18)
m*(log(8) + log(6)) = log(18)
m*log(48) = log(18)
m = log(18)/log(48)
m =~ 0.74663438
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