作业帮若log底数2[log底数3(log底数4)]若log底数2[log底数3(log底数4（x）)]=log底数3[log底数4(log底数2(y))]=log底数4[log底数2(log底数3z)]=0,则x+y+z=
来源：学生作业帮助网 编辑：作业帮 时间：2024/04/28 16:43:46
![若log底数2[log底数3(log底数4)]若log底数2[log底数3(log底数4（x）)]=log底数3[log底数4(log底数2(y))]=log底数4[log底数2(log底数3z)]=0,则x+y+z=](/uploads/image/z/11275958-38-8.jpg?t=%E8%8B%A5log%E5%BA%95%E6%95%B02%5Blog%E5%BA%95%E6%95%B03%28log%E5%BA%95%E6%95%B04%29%5D%E8%8B%A5log%E5%BA%95%E6%95%B02%5Blog%E5%BA%95%E6%95%B03%28log%E5%BA%95%E6%95%B04%EF%BC%88x%EF%BC%89%29%5D%3Dlog%E5%BA%95%E6%95%B03%5Blog%E5%BA%95%E6%95%B04%28log%E5%BA%95%E6%95%B02%28y%29%29%5D%3Dlog%E5%BA%95%E6%95%B04%5Blog%E5%BA%95%E6%95%B02%28log%E5%BA%95%E6%95%B03z%29%5D%3D0%2C%E5%88%99x%2By%2Bz%3D)
若log底数2[log底数3(log底数4)]若log底数2[log底数3(log底数4（x）)]=log底数3[log底数4(log底数2(y))]=log底数4[log底数2(log底数3z)]=0,则x+y+z=
若log底数2[log底数3(log底数4)]
若log底数2[log底数3(log底数4（x）)]=log底数3[log底数4(log底数2(y))]=log底数4[log底数2(log底数3z)]=0,则x+y+z=
若log底数2[log底数3(log底数4)]若log底数2[log底数3(log底数4（x）)]=log底数3[log底数4(log底数2(y))]=log底数4[log底数2(log底数3z)]=0,则x+y+z=
∵log底数2[log底数3(log底数4（x）)]=log底数3[log底数4(log底数2(y))]=log底数4[log底数2(log底数3z)]=0,
∴log底数3(log底数4（x）)=log底数4(log底数2(y))=log底数2(log底数3z)=1,
∴log底数4(x)=3
log底数2(y)=4
log底数3(z)=2,
∴x=4^3,y=2^4,z=3^2
∴x+y+z=64+16+9=89
2^[log4(3)]
=2^[log2^2(3)]
=2^[lg3/lg2^2]
=2^(lg3/2lg2)
=2^[(1/2)*log2(3)]
=2^[log2(√3)]
=√3