Kalkulator logaritma
Ngitung logaritma angka ing basis apa wae, ditambahi log alami.
Hasil dioptimalake nalika sampeyan ngetik.
Ngendi kalkulator iki
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.
Takon kang asring diajukake
Apa iku logaritma?
Ing basa Jawa, angka 1000 iku angka kang digunakaké kanggo nggambaraké angka 1000, ya iku angka kang digunakaké kanggo nggambaraké angka 1000.
Apa kang dadi basisé?
Kanggo nerangaké log ing basa apa wae saka kalkulator kang mung duwé ln utawa log10, gunakaké log_b(x) = ln(x) / ln(b).
Apa kang diarani alam?
Log alami, ditulis ln, iku logaritma ing basis e (kira-kira 2.71828). Alat iki nyritakaké ln ing salebeting basis apa wae sing sampeyan pilih.
Apa kang diarani log umum?
Log umum iku logaritma ing basis 10, ditulis log utawa log₁₀. Iki uga ditampilake kanthi otomatis tanpa nganggep basis sing sampeyan pilih.
Mengapa angka-angka iku kudu positif?
Sampeyan ora bisa nambahake basis positif menyang papat real lan entuk nol utawa angka negatif, mula log nol utawa negatif ora ditetepake.
Mengapa bisa basisnya tidak 1?
Satunggal ingkang dipunparingi pangkat manawi-manawi tansah 1, dados basa 1 boten saged dumugi angka sanèsipun - logaritma boten dipundefinisikaken. Basa kedah ugi positif.
API — gunakake kalkulator iki saka kode
Panggenan kalkulator iki minangka titik pungkasan JSON gratis - ora ana kunci sing dibutuhaké. Kirimi nilai medan ing ngisor iki minangka parameter pitakonan utawa JSON. Anything you omit uses the same default this page is pre-filled with; an unknown parameter is a 400, never a silent zero. Waca dokumen API lengkap →
Titik pungkasan
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);Kajaba iku, ana uga sing ora bisa gawé gawéan, kaya ta dokter, insinyur, lan liya-liyané.