求证 M^logaN=N^logaM
问题描述：
求证 M^logaN=N^logaM
答
M^logaN=N^logaM
logaNlogaM= logaMlogaN ( taking log with base a to both side )
True
答
令x=M^logaN
则取以a为底的对数
loga(x)
=loga[M^logaN]
=logaN*logaM
=logaM*logaN
=loga[N^logaM]
所以x=N^logaM
所以M^logaN=N^logaM