已知(-1/3xyz)²*M={1/3x^(2n+2)y(n+3)z^4}/5x^(2n-1)y^(n+1)z且自然数x、z满足2^x*3^(x-1)=72求M的值
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![已知(-1/3xyz)²*M={1/3x^(2n+2)y(n+3)z^4}/5x^(2n-1)y^(n+1)z且自然数x、z满足2^x*3^(x-1)=72求M的值](/uploads/image/z/1847361-57-1.jpg?t=%E5%B7%B2%E7%9F%A5%EF%BC%88-1%2F3xyz%EF%BC%89%26%23178%3B%2AM%3D%7B1%2F3x%5E%282n%2B2%29y%28n%2B3%29z%5E4%7D%2F5x%5E%282n-1%29y%5E%28n%2B1%29z%E4%B8%94%E8%87%AA%E7%84%B6%E6%95%B0x%E3%80%81z%E6%BB%A1%E8%B6%B32%5Ex%2A3%5E%28x-1%29%3D72%E6%B1%82M%E7%9A%84%E5%80%BC)
已知(-1/3xyz)²*M={1/3x^(2n+2)y(n+3)z^4}/5x^(2n-1)y^(n+1)z且自然数x、z满足2^x*3^(x-1)=72求M的值
已知(-1/3xyz)²*M={1/3x^(2n+2)y(n+3)z^4}/5x^(2n-1)y^(n+1)z且自然数x、z满足2^x*3^(x-1)=72
求M的值
已知(-1/3xyz)²*M={1/3x^(2n+2)y(n+3)z^4}/5x^(2n-1)y^(n+1)z且自然数x、z满足2^x*3^(x-1)=72求M的值
由(-1/3xyz)²*M={1/3x^(2n+2)y(n+3)z^4}/5x^(2n-1)y^(n+1)z化简得
M=3/5xz
2^x*3^(x-1)=2^x*3^x/3=72
2^x*3^x=216=(2*3)^x=6^x
x=3
题目没给z的条件
M=9/5z