Mpikirakira logaritma
Milaza ny logaritman'ny isa amin'ny fototra iray, ampiana ny logaritman'ny natiora.
Manova ny valin'ny fanoratanao.
Momba ity kapila ity
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.
Fanontaniana matetika
Inona no atao hoe logaritma?
It is the inverse of exponentiation. log₁₀(1000) = 3 because 10³ = 1000. The log tells you the exponent needed to reach a number.
Inona no fomba fiovaovana ny foto-kevitra?
Raha ny fototra dia ny logaritma, dia ny logaritma dia ny isa izay manana ny logaritma ny fototra, dia ny logaritma dia ny isa izay manana ny logaritma ny fototra.
Inona no atao hoe log natiora?
Ny logaritma amin'ny fototra e (eo amin'ny 2.71828 eo) ny logaritma natoraly, voasoratra hoe ln. Mampiseho ny ln miaraka amin'ny fototra tianao io fitaovana io.
Inona no lojika iraisana?
Ny logaritma amin'ny fototra 10, voasoratra hoe log na log₁₀ no logaritma iraisana. Asehon'ny rafitra hoazy ihany koa izy io na inona na inona fototra ataonao.
Nahoana no tokony ho tsara ny isa?
Tsy azo atao ny mametraka ny fototra tsara amin'ny tena hery ary mahazo ny zero na ny isa ratsy, noho izany ny logs ny zero na ny ratsy dia tsy voafaritra.
Nahoana no tsy azo atao ny fototra 1?
1 foana ny isa iray apetraka amin'ny hery iray, ka tsy afaka miakatra amin'ny isa hafa mihitsy ny fototra 1 — tsy voafaritra ny logaritma. Tsy maintsy miabo ihany koa ny fototra.
API — mampiasa io milina fanisana io avy amin'ny rindran'asa
Antsoy ho toy ny farany JSON malalaka ity milina fanisana ity - tsy mila famaha. Mandefa ireo sanda eo amin'ny sehatr'asa etsy ambany ho toy ny mpizaratry ny fanontaniana na JSON. Ny zavatra tsy voalaza dia mampiasa ny sanda tsotra efa nameno ity pejy ity; 400 ny sanda tsy fantatra, tsy aotra tsy misy feo. Vakio ny tahirin-kevitra API feno →
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);Ny voka-pikarohana dia natao ho an'ny torohevitra ankapobeny ihany, tsy torohevitra ara-bola, ara-pitsaboana na ara-bola.