Logarithm Calculator
Kalkulate the logarithm of a number in any base, plus the natural log.
Zvinyorwa zvinogadziridzwa paunenge uchinyora.
Nezve iyi kalkulator
A logarithm answers the question "what power do I raise the base to, to get this number?" This calculator computes the log in any base you choose (default base 10) and also always shows the natural log (base e) and the common log (base 10), plus a check that raises the base to the result to confirm it returns your number.
It uses the change-of-base rule, log_b(x) = ln(x) / ln(b), so it can work in any base from the natural logarithm. For example, log base 10 of 1000 is 3, because 10^3 = 1000, and the check line shows 10 ^ 3 = 1000. The natural log of the same number, ln(1000), is about 6.908. The input must be positive, and the base must be positive and not equal to 1, since logs are undefined outside those limits.
Logarithms turn multiplication into addition and compress huge ranges, which is why they power the decibel and Richter scales, pH, compound-growth timelines and information theory. They are the inverse of exponentiation, undoing a power to recover its exponent.
Zvimwe zvinobvunzwa zvakanyanya
Chii chinonzi logarithm?
Log₁₀(1000) = 3 nekuti 10³ = 1000. Log inotiudza kuti ndeipi nhamba yatinoda kuti tiite kuti tiwane nhamba.
Chii chinonzi change-of-base formula?
Kuti uwane log muchero webasa kubva kune calculator ine ln kana log₁₀ chete, shandisa log_b(x) = ln(x) / ln(b).
Chii chinonzi Natural Log?
Iyo log yezvisikwa, inonyorwa se ln, ndeye logarithm mubasa e (anenge 2.71828). Iyi chirongwa chinoratidza ln pamwe nebasa rako.
Chii chinonzi common log?
Iyo log yemutauro wechiGerman inonzi log10, uye inowanzoshandiswa se logarithm mubasa 10. Inogonawo kuratidzwa otomatiki pasina kuenderana nebasa rawakasarudza.
Nei nhamba inofanira kunge iri yepamberi?
Unogona kusimudza chinzvimbo chinokosha kune chero chakanaka simba uye kuwana zero kana chiratidzo chine njodzi, saka logs yezero kana negatives haasi kuzivikanwa.
Nei basa risingagone kunge 1?
Kana mumwe munhu akakwira kusvika kune chero simba, iye anoramba ari 1, saka chinzvimbo che1 hachigone kusvika kune chimwe chinzvimbo — logarithm haisi kuzivikanwa.
API — kushandisa iyi kalkulator kubva code
Nhare iyi calculator semahara JSON endpoint - hapana chikuru zvinodiwa. Kutumira nzvimbo mavara pasi separameter query kana JSON. Chii zvachose chaunoisa kunze chinoshandisa default iyo peji iri rakasviba nayo; parameter isiri yechokwadi inonzi 400, uye haisi zero. Tora yakazara API docs →
Endpoint
GET https://calculator.free/api/v1/logarithm/curl
curl "https://calculator.free/api/v1/logarithm/?number=1000&base=10"JavaScript fetch()
const r = await fetch(
"https://calculator.free/api/v1/logarithm/?" + new URLSearchParams({
"number": "1000",
"base": "10"
}));
const data = await r.json();
console.log(data.results);Zviratidzo zvemubvunzo ndezvekufungidzira kwechinangwa chekudzidzisa chete, kwete zvemari, zvehutano kana zvemari.