lna+lnb ???? lna-lnb - ????
...lna-lnb=ln(a/b) ???? ????????????ax=N?a>0??a?1?????x???a??N??????x=logaN????a??N??????a????????N?????...
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ln(a/b)=lna-lnb ln(ab)=lna+lnb???? - ????
...?????????? ???????????????????????????????????????? ln(a/b) = ln(a) - ln(b)?...
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lna÷lnb????? - ????
...lna÷lnb=logb?a? ????? loga?N?=[logb?N?]÷[logb?a?]?a?0??a?1?b?0?b?1?N?0?...
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??y=lnx?y????y=lna?y=lnb?b>a>0)?????????? ??????????????_????
...??y=lnx?y????y=lna?y=lnb?b>a>0)?????????? ??????????????...
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ln X??????? - ????
...ln X???????x ln (x) -x +C,(C?????)???????? ln (x) dx=x ln (x) -? x d [ ln(x) ]=x ln(x) -? x *(1/x) dx=x ln (x) -? dx=x ln (x) -x +C,(C?????).???????????1??...
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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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????lna^b=blna - ????
...????lna^b=blnalna^b?ln(a*a*a*?*a)????b?a??????lna?lna?lna?lna???lna(b?a??)?blna? ???????? ????...
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e?lna????a?????? - ????
...e?lna????a????????e^lna=a???????a^logaN=N (a>0 ?a?1????loga (a^N)=N??????a>0?a?1?N>0???LogaN=t?(t?R)??a^t=N;a^(LogaN)=a^t=N;??...
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logae=1?lna???????? - ????
...logae=1?lna???????????????????? ????? logae * ln a =1? ? logae = t, ? e = a^t, ???????????e???? ln e = ln a^t, ? 1= t * ln a, ?t??logae?? logae * l...
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ln(a+b)??lna+lnb?? - ????
...ln(a+b)??lna+lnb???????ln(a+b)?lna+lnb???????????lna+lnb=ln(ab)???a+b=ab???????????????a=b=2.??lnx???????????????????e????????...
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