Te whakamaramatanga o te taukohiko, ona ahuatanga me te kauwhata

Wairaurau o te tau ko te mana e tika ai kia whakanuia tetahi nama ki te whiwhi i tetahi atu.

Mena te nama b ki te whānuitanga y rite tonu x:

b^y = x

Na ko te hautaka o te tau x na te whakaaro b is y:

y = poro_b(X)

Hei tauira:

2⁴ = 16

takiuru₂(16) = 4

Ko te taurau hei mahi kōaro ki te taupū

mahi taukohiko y = poro_b(x) Ko te mahi kōaro o te taupūtanga x=b ^y.

Na, ki te tatau tatou i te mahi taupū o te taukohiko x (x > 0), ka puta:

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

Ki te tatau ranei tatou i te hautaka o te taumahinga taupū х:

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

Taukohiko tūturu (ln)

Ko te taukohiko maori te taukohiko turanga е.

ln (x) = rangitaki_e(x)

tau e he taumau ka taea te tautuhi hei tepe:

Akene ranei:

Wairau kōaro

Taukohiko kōaro (whakaaroaroaroaro rānei) o tētahi tau n he tau ko tona turanga taukohiko a he rite ki te tau n.

poro popokorua_an = aⁿ

Ripanga o nga ahuatanga o te taukohiko

Kei raro nei nga tino ahuatanga o te logarithms i te ahua ripanga.