若4*8^m*16^m=2^9,求m的值

若4*8^m*16^m=2^9,求m的值
若4*8^m*16^m=2^9,求m的值

若4*8^m*16^m=2^9,求m的值
4*8^m*16^m
=2^2*2^3m*2^4m
=2^(2+3m+4m)
=2^(2+7m)=2^9
2+7m=9
m=1

m=1,推到如下：
4*8^m*16^m=2^2*(2^3)^m*(2^4)^m=2^(2+3m+4m)=2^9即可知2+7m=9，m=1

2^2*(2^3)^m*(2^4)^m=2^9m
m=1