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4 txoj cai ntawm logarithms yog dab tsi?
4 txoj cai ntawm logarithms yog dab tsi?

Video: 4 txoj cai ntawm logarithms yog dab tsi?

Video: 4 txoj cai ntawm logarithms yog dab tsi?
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Anonim

Logarithm Rules los yog Log Rules

  • Muaj plaub tom qab lej logarithm cov qauv:? Txoj cai khoom Txoj cai :
  • logib (MN) = logib M + logib N.? Txoj Cai Quotient Txoj cai :
  • logib (M/N) = logib M-logib N.? Txoj cai hwj chim Txoj cai :
  • IogibM = n Yogib M.? Hloov Txoj Cai Txoj cai :

Ib yam li ntawd, cov kev cai ntawm logarithms yog dab tsi?

Cov kev cai siv rau logarithms ntawm txhua lub hauv paus tab sis tib lub hauv paus yuav tsum tau siv thoob plaws hauv kev suav. Qhov no txoj cai qhia peb ntxiv ob logarithms ua ke. Ntxiv log A thiab log B ua rau lub logarithm ntawm cov khoom ntawm A thiab B, uas yog log AB. Tib lub hauv paus, hauv qhov no 10, yog siv thoob plaws hauv kev suav.

Ib sab saum toj no, dab tsi yog cov khoom ntawm logarithms? Thoob plaws hauv koj txoj kev kawm txog algebra, koj tau hla ntau yam khoom -xws li commutative, associative, thiab distributive khoom . Cov no khoom pab koj coj ib qho kev qhia nyuaj lossis kev sib npaug thiab ua kom yooj yim rau nws. Tib yam muaj tseeb nrog logarithms.

Yog li ntawd, plaub tus qauv rau logarithms yog dab tsi?

Cov cai yooj yim rau logarithms

Txoj cai los yog rooj plaub tshwj xeeb Formula
Khoom ln(xy) = ln(x)+ln(y)
Quotient ln(x/y) = ln(x)-ln(y)
Log ntawm lub zog ln(xy) = yln(x)
Log of e ln(e) = 1

Log10 sib npaug li cas?

Ua lej, log 10 (x) yog sib npaug log (10 , x). Saib Piv txwv 1. Lub logarithm rau hauv paus 10 yog txhais rau txhua qhov kev sib cav sib ceg x ≠ 0. log 10 (x) rewrites logarithms rau hauv paus 10 nyob rau hauv cov nqe lus ntawm lub ntuj logarithm: log 10 (x) = ln(x)/ln(10).

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