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?????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????????-????
...lnx??e??????????e????????????????2.718281828459? ?????????1,0????C????,??????????????????????Y ???????????????????X?? ?????x>0 ???y???? ???? ??????????y=logax ? ......
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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???????? - ????
...LN????????????????????????????LN?????????? 1?ln (xy)=ln (x)+ln (y)???????????????????????????????????????????...
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ln?log??? - ????
...???ln (e²) ????? 2? ???????????????? ln ? log ???? ln ??????? e ?????????log ????????? 10 ????????? ?????????????????????????????????...
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ln??x?????????_????
...ln??x????? (ln x)^2??,?????????,???????????2×ln x ×1/x= (2ln x)/x? ?ln^2x???????? ?ln^2x????????????y=u^2?u=ln x y'= (u^2)'?lnx)' =2u (1/x) =2lnx (1/x) = (2lnx)/x ????? ??????????y=logax ????? {x ?x>0}?????????????? ......
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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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???????LA?LAeq?LN (L5?L10?L50?L90?L95)?Ld?Ln?????_????
...5?Ln????????? ?????? ????? ?? ??????????? ??????????? 0??????????????????????????????????????????????????0???5dB???...
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