Question

若a的m次方=a的n次方,(a>o,且a不为1,m,n是正整数）,则m=n,你能利用上面的结论解决下面两个问题吗1.如果

Answer 1

1.如果3^m*9^m*27^m=3^12,

那么3^m*(3^)^m*(3^3)^m=3^12,

3^m*3^(2m)*3^(3m)=3^12,

3^(m+2m+3m)=3^12,

6m=12,

m=2.

2.(4^t)^=2^8,

[2^(2t)]^=2^8,

2^(4t)=2^8,

4t=8,

t=2.