Question

已知2*8^m=4^2m,则m=?

Answer 1

2*8^m=4^2m,

2*(2*4)^m=4^2m,

2*2^m*4^m=4^m*4^m,

2*2^m=4^m,

2^(m+1)=(2^2)^m,

2^(m+1)=2^(2m),

所以 m+1=2m,

即 m-2m=-1,

-m=-1,

m=1