Logaritm Kalkülatory
Bir sanyň logaritmyny her bir esasda, plus natiral logaritm hasapla
Netijeler ýazýan wagtyň täzelener.
Bu hasapçy hakda
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.
Köp soralýan soraglar
Logaritm näme?
Bu eksponentiň tersidir. log₁₀(1000) = 3 because 10³ = 1000. Log sizes the exponent needed to reach a number.
Aýrylan esas formula näme?
Eger siz bir logaritmy diňe ln ýa-da log10 bar bir kalkulýatordan tapmak isleseňiz, onda log_b(x) = ln(x) / ln(b) ullanyň.
Natural log näme?
Natiral log, ln ýazylyp, e esasda logaritmdir (takmynan 2.71828). Bu esbap ln-i siziň saýlan her bir esasyň ýanynda görkezýär.
Umumy log näme?
Common log is the logaritm in base 10, written log or log₁₀. It is also displayed automatically regardless of the base you choose.
Näme üçin san pozitiw bolmaly?
Sen oňly bir esasy hiç bir akyly güýje galdyryp süňňü ýa-da menfi bir san alyp bilmeýäň, şonuň üçin süňňüň ýa-da menfi bir sanyň loglary belli edilmeýär.
Näme üçin esas 1 bolmaz?
Bir her hili güýje galdyrylan her wagt 1, şuňa görä 1'iň esasy hiç wagt başga bir san'a ýetip bilmez - logaritm belli däl. Asy hem oňlu bolmaly.
API — bu hasapçyny koddan ullan
Bu hasapçyny boş JSON ahtar noktasy hökmünde çagyr - açar gerek däl. Aşakdaky meýdança mykdarlaryny soragyň parametrleri ýa-da JSON hökmünde iber. Siziň goýmaýan hernäňiz şu sahypanyň öň bellenen öň bellenenini ulanýar; namydar parametr 400, hiç wagt sessiz sıfır däl. Eňlisçe senedleri oka →
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);Netijeler diňe umumy ýardam üçin hasaplanypdyr, maliýe, saglyk ýa-da salgyt maslahaty üçin däl.