已知2的m次方等于3,求2的3m+n+1的次方等于270,求2的n次方
问题描述:
已知2的m次方等于3,求2的3m+n+1的次方等于270,求2的n次方
答
2^(3m+n+1)=(2^m)^3×2^n×2=3^3×2×2^n=270 2^n=270÷3^3×2=270÷27÷2=5
已知2的m次方等于3,求2的3m+n+1的次方等于270,求2的n次方
2^(3m+n+1)=(2^m)^3×2^n×2=3^3×2×2^n=270 2^n=270÷3^3×2=270÷27÷2=5