log?lg?ln????_????
...log????????????log?2????log?8???2???????????2?3???8???8??2?????3? lg?10????????????? ln?? ???e ?e=2.71828...????????? ???? ??????????????????????????? ????????? ......
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ln??????? - ????
...ln???????ln?????????????????1.ln (x)???e???x??????e??2.71828? ??ln?????????...
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ln?????ln????????-????
...lnx??e??????????e????????????????2.718281828459? ?????????1,0????C????,??????????????????????Y ???????????????????X?? ?????x>0 ???y???? ???? ??????????y=logax ? ......
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??ln2,ln3,ln4?????? - ????
...??????a?ln??????????????????????e???????a? ???????ln2?ln3?ln4???????????????e?????????2?3?4?...
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Ln????? - ????
...Ln?????1?ln (MN)=lnM +lnN2?ln (M/N)=lnM-lnN3?ln?M^n)=nlnM4?ln1=05?lne=1???M>0?N>0????????e?????????lnN (N>0)???????????b=a^m?a=c^n??b= (c^n)^m=c^...
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ln???????? - ????
...LN????????????????????????????LN?????????? 1?ln (xy)=ln (x)+ln (y)???????????????????????????????????????????...
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ln1,ln (-1),Ln1,Ln (-1)??????-????
...ln1=0?ln (-1)=?i?Ln1=2k?i?Ln (-1)= (2k+1)?i?? ????????e?????????lnN?N>0??????????????????????????????lnx????????logx??????? ?????????????????????e??????????????????????? ......
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????????? - ????
...????????? 1.lnx+ lny=lnxy 2.lnx-lny=ln (x/y) 3.lnx?=nlnx 4.ln (??x)=lnx/n 5.lne=1 6.ln1=0 ????? ?????? (rule of logarithmic operations??????????.?????????????????? ???????????????????????????????? ??????????? ......
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???????????lo?,?lr?,?ln?????????_????
...???????????lo?,?lr?,?ln?????????Io???????In?????????????????Ir??????????????????????????Ie??????????????????...
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???excel???????ln?log???-????
...????????ln? ??excel????????????????=ln (num)????num????????????????excel?????????enter????????????????????ln3???????????...
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