Kalkaaliyihii Logarithm
Tixraac logarithm of a number in kasta oo salka, iyo sidoo kale log dabiiciga ah.
Natiijooyinka cusbooneysiinta sida aad ku qorto.
Ku saabsan Kalkaaliyahan
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.
Su'aalaha badanaa la isweydiiyo
Waa maxay logarithm?
Waa in ay ka soo horjeedaa of exponentiation. log₁₀(1000) = 3 sababtoo ah 10³ = 1000. Log kuu sheegi doonaa exponent u baahan yahay in ay gaadho tirada.
Waa maxay isbedelka-of-base foomka?
Si aad u hesho log in kasta oo salka ka xisaabiyaha oo kaliya leh ln ama log₁₀, isticmaal log_b (x) = ln (x) / ln (b).
Waa maxay log dabiiciga ah?
Log dabiiciga ah, ln ku qoran, waa logarithm in salka e (ku saabsan 2.71828). Qalabkani wuxuu muujinayaa ln la mid ah wixii salka aad doorato.
Waa maxay log guud?
Log caadiga ah waa logarithm in salka 10, log qoray ama log₁₀. Waxay sidoo kale si otomaatig ah loo muujiyey kastoo salka aad doorato.
Maxaa keenay in tirada ay tahay mid wanaagsan?
Waxaad ka qaadi kartaa salka wanaagsan in awood kasta oo dhab ah oo hesho zero ama tirada xun, sidaas logs of zero ama negatives waa aan la qeexin.
Maxaa sabab u ah in aan salka ah 1?
Mid ka soo korsaday awood kasta waa mar walba 1, sidaas daraaddeed salka 1 ma noqon karto in ay gaadho tirada kale - loogarithm waa aan la qeexin.
API — isticmaal xisaabinta ka code
Wici xisaabinta sida free JSON endpoint - key ma loo baahan yahay. Dib u soo dir qiimaha goobta hoos ku qoran sida parameters su'aal ama JSON. Wax kasta oo aad ka maqan tahay isticmaalaa default la mid ah ee boggani waa hore loo buuxiyey la; parameter aan la aqoon waa 400, marnaba ma aha zero maqan. Akhri dhammaan API xuquuqda →
Xarafka
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);Natiijooyinka waa tirakoobka loogu talagalay tilmaamaha guud oo keliya, maaha dhaqaale, caafimaad ama talo bixin canshuur.