Ma'anar logarithm, kaddarorinsa da jadawali

Logarithm na lamba shine ikon da dole ne a ɗaga lamba ɗaya don samun wani.

Idan lambar b har zuwa y daidai x:

b^y = x

Don haka logarithm na lamba x bisa dalili b is y:

y = log_b(X)

Misali:

2⁴ = 16

shiga₂(16) = 4

Logarithm azaman aikin juzu'i zuwa juzu'i

aikin logarithmic y = log_b(x) shine aikin juzu'i na juzu'i x=b ^y.

Don haka idan muka ƙididdige aikin juzu'i na logarithm x (x> 0), zai kasance:

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

Ko kuma idan muka ƙididdige logarithm na aikin mabuɗin х:

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

Logarithm na halitta (ln)

Logarithm na halitta shine tushen logarithm е.

ln (x) = log_e(x)

Number e akai akai wanda za'a iya siffanta shi azaman iyaka:

Ko haka:

Inverse logarithm

Inverse logarithm (ko antilogarithm) na lamba n lamba ce wacce tushen logarithm a daidai yake da lamba n.

tururuwa_an = aⁿ

Teburin kaddarorin logarithms

Da ke ƙasa akwai mahimman kaddarorin logarithms a cikin nau'i na tebur.