已知4^m＋3·8^m＋1÷2^4m＋7＝16,求m的值.

4^(m＋3)·8^(m＋1)÷2^(4m＋7)＝16
2^(2m+6)*2^(3m+3)/2^(4m+7)=2^4
2^(2m+6+3m+3-4m-7)=2^4
2^(m+2)=2^4
m+2=4
m=2