已知3的m次方乘以9的m次方乘以27的m次方乘以81的m次方=3的30次方,求m的值。 (最好有过程,谢谢大家)

2025-05-17 13:28:24
推荐回答(2个)
回答1:

3^m*9^m*27^m*81^m=3^30
3^m*3^(2m)*3^(3m)*3^(4)m=3^30
3^(m+2m+3m+4m)=3^30
10m=30
m=3

回答2:

3^m*9^m*27^m*81^m=3^30
3^m*(3^2)^m*(3^3)^m*(3^4)^m=3^30
3^m*3^(2m)*3^(3m)*3^(4m)=3^30
3^(m+2m+3m+4m)=3^30
3^(10m)=3^30
10m=30
m=1/3