Dab tsi yog exponential thiab logarithmic functions?
Dab tsi yog exponential thiab logarithmic functions?

Video: Dab tsi yog exponential thiab logarithmic functions?

Video: Dab tsi yog exponential thiab logarithmic functions?
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Logarithmic muaj nuj nqi yog cov inverses ntawm exponential functions . Lub inverse ntawm lub exponential muaj nuj nqi y = ibx yog x = ay. Cov logarithmic muaj nuj nqi y = logax txhais tau tias yog sib npaug rau qhov exponential equation x = ay. y = logax tsuas yog hauv qab no: x = ay, a > 0, thiab a≠1.

Piv txwv li, qhov txawv ntawm exponential thiab logarithmic functions yog dab tsi?

Lub inverse ntawm ib exponential muaj nuj nqi yog a logarithmic muaj nuj nqi thiab inverse ntawm a logarithmic muaj nuj nqi yog ib exponential muaj nuj nqi . Daim ntawv ceeb toom tseem nyob ntawm daim duab uas x tau loj dua thiab loj dua, qhov muaj nuj nqi tus nqi ntawm f(x) yog nce ntau thiab ntau heev.

Dab tsi yog qhov piv txwv ntawm logarithmic muaj nuj nqi? A logarithm yog tus exponent. Ib qho kev qhia exponential tuaj yeem rov sau dua hauv logarithmic daim ntawv. Rau piv txwv Yog tias peb muaj 8 = 23, ces lub hauv paus yog 2, tus exponent yog 3, thiab qhov tshwm sim yog 8. Qhov no tuaj yeem rov sau dua hauv logarithmic form ua. 3 = log 2 8.

Hais txog qhov no, dab tsi yog exponential logarithm?

Los ntawm txhais: log by = x b x = y. Sib raug rau txhua tus logarithm ua haujlwm nrog puag b, peb pom tias muaj ib qho exponential ua haujlwm nrog lub hauv paus b: y = b x. Ib exponential muaj nuj nqi yog inverse ntawm a logarithm muaj nuj nqi.

Ib qho piv txwv ntawm exponential muaj nuj nqi yog dab tsi?

Hauv ib exponential muaj nuj nqi , tus hloov pauv ywj pheej, lossis x-tus nqi, yog qhov exponent , thaum lub hauv paus yog qhov tsis tu ncua. Rau piv txwv y = 2x y exponential muaj nuj nqi . Nov yog qhov uas zoo li. Formula rau ib exponential muaj nuj nqi yog y = abx, qhov twg a thiab b yog qhov qub.

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