M1A狙击步枪民用版:简单高二数学题!!!

来源:百度文库 编辑:查人人中国名人网 时间:2024/05/02 11:51:41
比较log1/2(1/3)与log1/3(1/2)的大小!!!

用换底公式得:log1/2(1/3)=lg2/lg3
log1/3(1/2)=lg3/lg2
又因为<1lg2<lg3
所以log1/2(1/3)<log1/3(1/2)

log1/2(1/3)=[lg(1/3)]/[lg(1/2)]
log1/3(1/2)=[lg(1/2)]/[lg(1/3)]
log1/2(1/3)>log1/3(1/2)

log1/2(1/3)化简得log2(3),log1/3(1/2)化简得log3(2).log3(2)〈
log3(3)=log2(2)〈log2(3)所以log1/3(1/2)〈log1/2(1/3)

用换底公式

log1/2大