Logarithm Calculator
Kafukufuku logarithm ya mfundo iliyonse, kuphatikizapo logarithm wachilengedwe.
Zithunzizi zimasintha monga momwe mumalemba.
Zachidule
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.
Mafunso ofunsidwa nthawi zambiri
Kodi ndi chiyani logarithm?
Ndilo lokha lokha la kuwonjezeka kwa mfundo. log₁₀(1000) = 3 chifukwa 10³ = 1000. Loga ikusonyeza kuti mfundo yowonjezereka iyenera kufika pa mfundo ina.
Kodi ndi chiyani kusintha-of-base formula?
Kuti mudziwe log mu gawo lililonse la calculator yomwe ili ndi ln kapena log₁₀, kugwiritsa ntchito log_b (x) = ln (x) / ln (b).
Kodi ndi chiyani log yachilengedwe?
Logarithm ya m'madera, yolemba ln, ndi logarithm ya m'madera a e (kuzungulira 2.71828). Izi zikusonyeza ln pamodzi ndi m'madera amene mwasankha.
Kodi ndi chiyani logalamula?
The common log is the logarithm in base 10, written log or log₁₀. It is also shown automatically regardless of the base you choose.
N’chifukwa chiyani mfundoyi iyenera kukhala yopindulitsa?
Simungathe kuwonjezera zoipa mfundo kwa aliyense mphamvu yachibadwa ndi kupeza zero kapena woipa mfundo, kotero logs wa zero kapena woipa mfundo ndi undefined.
N'chifukwa chiyani basi si 1?
Mmodzi wowonjezeredwa ku mphamvu iliyonse ndi nthawi zonse 1, kotero 1 basi singathe kufika zina 1 - logarithm si anafotokoza. 1 basi ayeneranso kukhala woipa.
API — kugwiritsa ntchito izi calculator kuchokera code
Kuti mudziwe zambiri, pitani ku www.json.org/json.html. Kuti mudziwe zambiri, pitani ku www.json.org/json.html. Chomweko chilichonse chimene mumasiya chimagwiritsa ntchito mfundo yoyamba yomweyi yomwe tsambali limagwiritsa ntchito; mfundo yosadziwika ndi 400, siyiyenera kukhala zero yosadziwika. Onani zonse API docs →
Chithunzi
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);Zimenezi ndi zowerengera zokhudzana ndi malangizo amtundu uliwonse, si zokhudzana ndi ndalama, zamoyo kapena zokhudzana ndi ndalama.