Lub ntsiab lus ntawm lub logarithm, nws cov khoom thiab daim duab

Logarithm ntawm tus lej yog lub hwj chim uas ib tus lej yuav tsum tau tsa kom tau txais lwm tus.

Yog tus lej b mus rau qhov twg y sib npaug x:

b^y = x

Yog li lub logarithm ntawm tus lej x yog vim li cas b is y:

y = cav_b(X)

Piv txwv li:

2⁴ = 16

teev₂(16) = 4

Logarithm ua inverse function rau exponential

logarithmic muaj nuj nqi y = cav_b(x) yog inverse function ntawm tus exponential x=b ^y.

Yog li, yog tias peb suav qhov exponential muaj nuj nqi ntawm lub logarithm x (x > 0), nws yuav tig tawm:

f (f ^-1(x)) = b^teevb^(x) = x

Los yog peb xam lub logarithm ntawm exponential muaj nuj nqi х:

f ^-1(f (x)) = log_b(b^x) = x

Ntuj logarithm (ln)

Lub ntuj logarithm yog lub hauv paus logarithm е.

ln (x) = log_e(x)

Number e yog ib qho tas mus li uas tuaj yeem txhais tau tias yog qhov txwv:

Los yog li ntawd:

Inverse logarithm

Inverse logarithm (los yog antilogarithm) ntawm tus lej n yog tus lej uas nws lub hauv paus logarithm yog a yog sib npaug rau tus lej n.

ant log_an = aⁿ

Table of properties of logarithms

Hauv qab no yog cov khoom tseem ceeb ntawm logarithms hauv daim ntawv tabular.