公式变形1:已知a^m=2,a^n=6求a^2m+3n2:已知a^x+y=6,a^x+y+z=12求a^z3:已知a^m=2 b^m=6求(a^3b^2)^m的值4已知5^m=3,5^3m+n+1=270求5^n
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![公式变形1:已知a^m=2,a^n=6求a^2m+3n2:已知a^x+y=6,a^x+y+z=12求a^z3:已知a^m=2 b^m=6求(a^3b^2)^m的值4已知5^m=3,5^3m+n+1=270求5^n](/uploads/image/z/1245746-2-6.jpg?t=%E5%85%AC%E5%BC%8F%E5%8F%98%E5%BD%A21%3A%E5%B7%B2%E7%9F%A5a%5Em%3D2%2Ca%5En%3D6%E6%B1%82a%5E2m%2B3n2%3A%E5%B7%B2%E7%9F%A5a%5Ex%2By%3D6%2Ca%5Ex%2By%2Bz%3D12%E6%B1%82a%5Ez3%3A%E5%B7%B2%E7%9F%A5a%5Em%3D2+b%5Em%3D6%E6%B1%82%28a%5E3b%5E2%29%5Em%E7%9A%84%E5%80%BC4%E5%B7%B2%E7%9F%A55%5Em%3D3%2C5%5E3m%2Bn%2B1%3D270%E6%B1%825%5En)
公式变形1:已知a^m=2,a^n=6求a^2m+3n2:已知a^x+y=6,a^x+y+z=12求a^z3:已知a^m=2 b^m=6求(a^3b^2)^m的值4已知5^m=3,5^3m+n+1=270求5^n
公式变形
1:已知a^m=2,a^n=6求a^2m+3n
2:已知a^x+y=6,a^x+y+z=12求a^z
3:已知a^m=2 b^m=6求(a^3b^2)^m的值
4已知5^m=3,5^3m+n+1=270求5^n
公式变形1:已知a^m=2,a^n=6求a^2m+3n2:已知a^x+y=6,a^x+y+z=12求a^z3:已知a^m=2 b^m=6求(a^3b^2)^m的值4已知5^m=3,5^3m+n+1=270求5^n
1:已知a^m=2,a^n=6求a^2m+3n
a^2m+3n
=a^2m*a^3n
=(a^m)^2*(a^n)^3
=2^2*6^3
=4*216
=864
2:已知a^x+y=6,a^x+y+z=12求a^z
a^x+y+z
=a^(x+y)*a^z
=12
因为a^x+y=6,所以a^z=12/6=2
3:已知a^m=2 b^m=6求(a^3b^2)^m的值
(a^3b^2)^m
=a^3m*b^2m
=(a^m)3*(b^m)^2
=2^3*6^2
=8*36
=288
4已知5^m=3,5^3m+n+1=270求5^n
5^3m+n+1
=5^3m*5^n*5
=(5^m)^3*5^n*5
=3^3*5^n*5
=27*5^n*5
=270
所以5^n=270/(27*5)=2
a^2m+3n =(a^m)^2*(a^n)^3=2^2+6^3=864
a^z=(a^x+y+z)/(a^x+y)=12/6=2
(a^3b^2)^m=(a^m)^3*(b^m)^2=2^3*6^2=288
5^n=(5^3m+n+1)/(5^m)^3/5^1=2