设Z=4的m次幂-1+(2的m次幂+1)i,m属于实数,若Z对应的点在直线x-3y=0上,求m的值
来源:学生作业帮助网 编辑:作业帮 时间:2024/08/13 13:59:31
![设Z=4的m次幂-1+(2的m次幂+1)i,m属于实数,若Z对应的点在直线x-3y=0上,求m的值](/uploads/image/z/10318559-23-9.jpg?t=%E8%AE%BEZ%3D4%E7%9A%84m%E6%AC%A1%E5%B9%82-1%2B%282%E7%9A%84m%E6%AC%A1%E5%B9%82%2B1%29i%2Cm%E5%B1%9E%E4%BA%8E%E5%AE%9E%E6%95%B0%2C%E8%8B%A5Z%E5%AF%B9%E5%BA%94%E7%9A%84%E7%82%B9%E5%9C%A8%E7%9B%B4%E7%BA%BFx-3y%3D0%E4%B8%8A%2C%E6%B1%82m%E7%9A%84%E5%80%BC)
x){n_Y-,|IP[6}qޓ]}O{6uQO|k
POx>{]+t+m
y)(aMR>/OOrьg-:OMh
Ovz$.W(.WhγΆ'Et5b:O{7xjťFֺ@M 1Pdm bacԴ\ۜt#~qAb($ se
设Z=4的m次幂-1+(2的m次幂+1)i,m属于实数,若Z对应的点在直线x-3y=0上,求m的值
设Z=4的m次幂-1+(2的m次幂+1)i,m属于实数,若Z对应的点在直线x-3y=0上,求m的值
设Z=4的m次幂-1+(2的m次幂+1)i,m属于实数,若Z对应的点在直线x-3y=0上,求m的值
由题意,得复数Z对应的点为(4^m,2^m +1),所以4^m-3(2^m +1)=0,即(2^m)²-3(2^m)-3=0,
解得,2^m=(3+√21)/2,所以m=log2(3+√21)-1.