Tlhaloso ea logarithm, thepa ea eona le kerafo

Logarithm ea nomoro ke matla ao palo e ’ngoe e tlamehang ho phahamisoa ho ’ona ho fumana e ’ngoe.

Haeba nomoro b ho isa tekanyong y ho lekana x:

by = x

Kahoo logarithm ea palo x ka lebaka b is y:

y = logb(X)

Ka mohlala:

24 = 16

kena2(16) = 4

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Logarithm joalo ka ts'ebetso e fapaneng ho ea ho exponential

mosebetsi oa logarithmic y = logb(x) ke ts'ebetso e fapaneng ea exponential x=b y.

Kahoo haeba re bala mosebetsi oa exponential oa logarithm x (x > 0), ho tla ba joalo:

f (f -1(x)) = bkenab(x) = x

Kapa haeba re bala logarithm ea mosebetsi oa exponential х:

f -1(f (x)) = logb(bx) = x

Logarithm ea tlhaho (ln)

Logarithm ea tlhaho ke logarithm ea motheo е.

ln (x) = loge(x)

palo e ke ntho e sa fetoheng e ka hlalosoang e le moeli:

Tlhaloso ea logarithm, thepa ea eona le kerafo

Kapa ho joalo:

Tlhaloso ea logarithm, thepa ea eona le kerafo

Logarithm e fapaneng

Logarithm e fapaneng (kapa antilogarithm) ea nomoro n ke nomoro eo motheo oa eona logarithm e leng a e lekana le palo n.

logong la bohloaan = an

Lethathamo la thepa ea logarithms

Ka tlase ke thepa ea mantlha ea li-logarithms ka mokhoa oa tabular.

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Функция, которая определена формулой f (x)= loga(x) – это логарифмическая функция с основанием a... Hokae a>0, a≠1.

График функции логарифма

График логарифмической функции (логарифмика) может быть двух типов, в зависимости от значения основания a:

  • a > 1Tlhaloso ea logarithm, thepa ea eona le kerafo
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