x为正整数,且满足3^(x+1)2^x-3^x2^(x+1)=6^6,求x值
来源:学生作业帮助网 编辑:作业帮 时间:2024/07/28 12:34:20
![x为正整数,且满足3^(x+1)2^x-3^x2^(x+1)=6^6,求x值](/uploads/image/z/5475907-19-7.jpg?t=x%E4%B8%BA%E6%AD%A3%E6%95%B4%E6%95%B0%2C%E4%B8%94%E6%BB%A1%E8%B6%B33%5E%28x%2B1%292%5Ex-3%5Ex2%5E%28x%2B1%29%3D6%5E6%2C%E6%B1%82x%E5%80%BC)
x)xc׳Ml';<۽ŶqچFqqFYγMO$铯YΆBlfـ9صk@RF0Tc`AhզmMxjb-$GՔ-L-ͬ8C va3$G[P 6n
x为正整数,且满足3^(x+1)2^x-3^x2^(x+1)=6^6,求x值
x为正整数,且满足3^(x+1)2^x-3^x2^(x+1)=6^6,求x值
x为正整数,且满足3^(x+1)2^x-3^x2^(x+1)=6^6,求x值
6
3^(x+1)2^x-3^x2^(x+1)=
=3*3^x*2^x-2*3^x*2^x
=3^x*2^x
=6^x
=6^6
x=6
分析,
3^(x+1)*2^x-3^x*2^(x+1)=6^6
↔3*3^x*2^x-2*3^x*2^x=6^6
↔3^x*2^x=6^6
↔6^x=6^6
∴x=6