Incazelo ye-logarithm, izakhiwo zayo kanye negrafu

I-logarithm yenombolo amandla okumele inombolo eyodwa iphakanyiswe kuwo ukuze ithole enye.

Uma inombolo b ngezinga y kufana x:

b^y = x

Ngakho-ke i-logarithm yenombolo x ngesizathu b is y:

y = ilog_b(X)

Ngokwesibonelo:

2⁴ = 16

Log₂(16) = 4

I-logarithm njengomsebenzi ophambene ukuya kokuchazile

umsebenzi we-logarithmic y = ilog_b(x) umsebenzi ophambene we-exponential x=b ^y.

Ngakho uma sibala umsebenzi womchazi we-logarithm x (x > 0), kuzovela:

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

Noma uma sibala i-logarithm yomsebenzi womchazi х:

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

I-logarithm yemvelo (ln)

I-logarithm yemvelo iyi-logarithm eyisisekelo е.

ln (x) = ilogi_e(x)

Inombolo e iwukungashintshi okungachazwa njengomkhawulo:

Noma kunjalo:

I-logarithm ephambene

I-logarithm ephambene (noma i-antilogarithm) yenombolo n inombolo eyisisekelo sayo i-logarithm a ilingana nenombolo n.

intuthwane log_an = aⁿ

Ithebula lezakhiwo ze-logarithms

Ngezansi izici eziyinhloko zama-logarithms kufomu lethebula.