已知3^m・9^m・27^m・81^m=3^30,求m的值

已知3^m・9^m・27^m・81^m=3^30,求m的值

标题................
3^m*9^m*27^m*81^m=3^m*3^(2m)*3^(3m)*3^(4m)=3^(10m)=3^30,所以10m=30,m=3
3^m・9^m・27^m・81^m=3^30
3^m・3^2m・3^3m・3^4m=3^30
3^(m+2m+3m+4m)=3^30
10m=30
m=3
原式=3^m*3^(2m)*3^(3m)*3^(4m)=3^30
=3(m+2m+3m+4m)=3^30
m=3
原式 = 3^[(1+2+3+4)*m]

=3^(10m)

=3^30

m=3
3^m・9^m・27^m・81^m=3^m*3^2m*3^3m*3^4m=3^10m
m=3
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