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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??ln2,ln3,ln4?????? - ????
...??????a?ln??????????????????????e???????a? ???????ln2?ln3?ln4???????????????e?????????2?3?4?...
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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?????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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????????? - ????
...????????? 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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ln?log???? - ????
...ln?log??????? ? ln????e?????ln=log_e?ln3=log_e (3)?ln?log_e??????????log????????????????log_2?log_3? ???????????????????log??ln???????????????????e???????????ln?...
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??ln?e?????? - ????
...??ln?e?????????????????ln??e???????b=e^a???a=lnb????????e?????????lnN (N>0)?????????????????????????????lnx??????...
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ln?log??? - ????
...???ln (e²) ????? 2? ???????????????? ln ? log ???? ln ??????? e ?????????log ????????? 10 ????????? ?????????????????????????????????...
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