若3^m*9^m*27^m*81^m=3^30,则m=帮下忙!

若3^m*9^m*27^m*81^m=3^30,则m=帮下忙!
若3^m*9^m*27^m*81^m=3^30,则m=
帮下忙!

若3^m*9^m*27^m*81^m=3^30,则m=帮下忙!
3^m*9^m*27^m*81^m=3^30
3^m*9^m*27^m*81^m=3^m*3^(2*m)*3^(3*m)*3^(4*m)
=3^(m+2*m+3*m+4*m)
=3^(10*m)
所以3^(10*m)=3^30,即10*m=30
所以m=3