问题标题:
已知㏒ab=㏒ba(a>0≠1,b>0且≠1)求证a=b或a=1/b
问题描述:
已知㏒ab=㏒ba(a>0≠1,b>0且≠1)求证a=b或a=1/b
程维明回答:
㏒ab=㏒ba=1/LOG(A,B)
==>(LOG(A,B))^2=1
==>LOG(A,B)=1或者LOG(A,B)=-1
==>A=B或者B=A^(-1)==>A=1/B
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