Ln

ln??????? - ????
...ln???????ln?????????????????1.ln(x)???e???x??????e??2.71828? ??ln????????? 2. ln(e) = 1e????????ln(e)??1?...
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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?a / b? = ln?a? - ln?b? ??????????????????????????????????????? ln?????ln?a^b? = b * ln?a? ???????????????????????????????...
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ln(1+ x)??????? - ????
...ln(1+ x)??????????????? ?????????ln????????????d/dx ln(u) = 1/u * du/dx???u?ln??????...
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????????? - ????
...??????????????????. ??????????????????. ????????????????????????????????. ?????12?. ??????????????????1.lnx+ lny=lnxy2.lnx-lny=ln (x/y)3.lnx?=nlnx4.ln (??x ......
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??ln?e?????? - ????
...????????????????. ?????????????????. ??ln?e?????????????????ln??e???????b=e^a???a=lnb?. ???????e???????. ??lnN (N>0)?. ???????????????????? ......
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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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??? ln(1+ x)?????????? - ????
...ln (1+x)???????????. ?x?-1?1??????ln (1+x)??????. ln (1+x) = ? (-1)^ (n+1) * x^n / n. ??????????????????????f (x) = ln (x+1)????f (0) = ln1 = 0?????????f' (0) = 1/ (1+0) = 1?f'' (0) = -1/ (1+0)^2 = -1????? ......
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ln(-1)????? - ????
...ln ????? ln a=loge a??e??????????ln???e???????? e??????????????????10????????e??????????????????????????????????? e???2.71828 18284 59.....? ln?M*N?=lnM+lnN...
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?ln?????? - ????
...ln??? ????????????????ln???????. ???????. ?????????????????????????=?+1??=?×1?. ???????????????????????????????????????????. ?? ......
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