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 (x)???e????x??????? ???????e^y = x???ln (x) = y? ln????e??????????10?????????log????? ln?????????????????????????????????????...
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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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ln?log??? - ????
...???ln (e²) ????? 2? ???????????????? ln ? log ???? ln ??????? e ?????????log ????????? 10 ????????? ?????????????????????????????????...
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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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ln???????? - ????
...LN????????????????????????????LN?????????? 1?ln (xy)=ln (x)+ln (y)??????????????????????????????????????????? 2?ln (x/y)=ln (x)-ln (y)???????????????????????????????? ......
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??ln2,ln3,ln4?????? - ????
...??? ????ln???????????? ??????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 (a+b)????????-????
...Ln?a+b? = Lna * Ln [1 + (b/a)] = Lnb * Ln [1 + (a/b)] ???????e?????????lnN (N>0)?????????????????????????????lnx????????logx???????????????10?????lgx??????????ex? ????? ??????????????? ......
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?????????:ln??????ln1??????ln100?????..._????
...ln???????????? ln1??0?ln100????4.61? 1. ??????ln???? ln???????????e??????? ????????????????????????????????????????????...
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