Ka wehewehe o ka logarithm, kona mau waiwai a me ka pakuhi

Logarithm o kahi helu ʻo ia ka mana e hoʻonui ʻia ai kekahi helu e loaʻa ai kekahi helu.

Inā ka helu b i ka nui y like like x:

b^y = x

No laila ka logarithm o ka helu x ma ke kumu b is y:

y = kūloko_b(X)

ʻo kahi laʻana:

2⁴ = 16

mōʻaukala₂(16) = 4

Logarithm e like me ka hana inverse i ka exponential

hana logarithmic y = kūloko_b(x) ʻo ia ka hana inverse o ka exponential x=b ^y.

No laila inā mākou e helu i ka hana exponential o ka logarithm x (x > 0), e puka mai ana:

f (f ^-1(x)) = b^mōʻaukalab^(x) = x

A i ʻole inā helu mākou i ka logarithm o ka hana exponential х:

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

Logaritma kūlohelohe (ln)

ʻO ka logarithm kūlohelohe ka logarithm kumu е.

ln (x) = log_e(x)

Number e he mea mau i hiki ke wehewehe i ka palena:

A i ʻole:

Logarithm hoʻololi

Logarithm hoʻololi (a i ʻole antilogarithm) o kahi helu n he helu nona ka logaritma kumu a ua like me ka helu n.

lāʻau ant_an = aⁿ

Papa o na waiwai o ka logarithms

Aia ma lalo iho nā waiwai nui o ka logarithms ma ke ʻano papa.