Tanthauzo la logarithm, katundu wake ndi graph

Logarithm ya nambala ndi mphamvu yomwe nambala imodzi iyenera kukwezedwa kuti ipeze ina.

Ngati nambala b mpaka y zofanana x:

b^y = x

Ndiye logarithm ya nambala x mwa chifukwa b is y:

y = chipika_b(X)

Mwachitsanzo:

2⁴ = 16

fufuzani₂(16) = 4

Logarithm ngati ntchito yosinthira kupita ku exponential

ntchito ya logarithmic y = chipika_b(x) ndi ntchito yosiyana ya exponential x=b ^y.

Chifukwa chake ngati tiwerengera kuchuluka kwa ntchito ya logarithm x (x> 0), zitha kukhala:

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

Kapena ngati tiwerengera logarithm ya exponential function х:

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

Natural logarithm (ln)

Logarithm yachilengedwe ndiye maziko a logarithm е.

ln (x) = chipika_e(x)

Number e ndi nthawi zonse zomwe zingatanthauzidwe ngati malire:

Kapena kuti:

Inverse logarithm

Logarithm (kapena antilogarithm) ya nambala n ndi nambala yomwe maziko ake ndi logarithm a ikufanana ndi nambala n.

chipika cha nyerere_an = aⁿ

Mndandanda wa katundu wa logarithms

Pansipa pali zinthu zazikulu za ma logarithms mu mawonekedwe a tabular.