Sakrekenaar
Bereken die logaritme van 'n getal in enige basis, plus die natuurlike log.
Resultate werk op soos jy tik.
Aangaande hierdie sakrekenaar
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.
Dikwels gevra vrae
Wat is'n logaritme?
It is the inverse of exponentiation. log₁₀(1000) = 3 because 10³ = 1000. The log tells you the exponent needed to reach a number.
Wat is die verander- van- verslagformule?
Om 'n log in enige basis te vind van' n sakrekenaar wat net ln of log10 het, gebruik log_bex) = lnex) / lnennneb).
Wat is die natuurlike stomp?
The natural log, written ln, is the logarithm in base e (about 2.71828). This tool shows ln alongside whatever base you pick.
Wat is die algemene log?
Die algemene log is die logaritme in basis 10, geskrewe log of log10. Dit word asook vertoon automaties ongeag die basis wat jy kies.
Waarom moet die getal positief wees?
Jy kan nie 'n positiewe basis na enige werklike mag verhoog en nul of 'n negatiewe getal kry nie, so logs van nul of negatiewes is ongedefinieerd.
Waarom kan die basis nie 1 wees nie?
Iemand wat tot enige mag opgewek word, is altyd 1, en daarom kan'n basis van 1 nooit nog'n getal bereik nie π die logaritme is ongedefinieerd. Die basis moet ook positief wees.
API ← gebruik hierdie sakrekenaar van kode
Bel hierdie sakrekenaar as 'n vry JSON-punt takies wat nodig is. Stuur die veldwaardes hieronder as navraag parameters of JSON. Enigiets wat jy weglaat gebruik dieselfde verstek hierdie bladsy is vooraf gevul met; 'n onbekende parameter is 'n 400, nooit' n stil nul. Lees die volle API docs →
Einde punt:
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);Die resultate is skattings van algemene leiding, nie net finansiële, mediese of belastingvoorligting nie.