Tsanangudzo yelogarithm, zvimiro zvayo uye girafu

Logarithm yenhamba isimba rinofanira kusimudzwa nhamba imwe kuti iwane imwe.

Kana iyo nhamba b kusvika pamwero y equals x:

b^y = x

Saka iyo logarithm yenhamba x nechikonzero b is y:

y = logi_b(X)

Semuyenzaniso:

2⁴ = 16

danda₂(16) = 4

Logarithm se inverse basa kune exponential

logarithmic basa y = logi_b(x) ibasa rakapesana reexponential x=b ^y.

Saka kana tikaverenga exponential function yelogarithm x (x > 0), zvichava:

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

Kana tikaverenga logarithm yeexponential function х:

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

Natural logarithm (ln)

Iyo natural logarithm ndiyo base logarithm е.

ln (x) = log_e(x)

nhamba e is a constant iyo inogona kutsanangurwa semuganho:

Kana zvakadaro:

Inverse logarithm

Inverse logarithm (kana antilogarithm) yenhamba n inhamba ine hwaro hwelogarithm a yakaenzana nenhamba n.

svosve log_an = aⁿ

Tafura yezvivakwa zve logarithms

Pazasi pane zvakakosha zvimiro zvelogarithms mune tabular fomu.