I-Calculator ye-Logarithm
Bala i-logarithm yenombolo nganoma iyiphi isisekelo, kanye ne-log ejwayelekile.
Iziphetho zivuselelwa uma ubhala.
Malunga nale khadi
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.
Imibuzo ebuzwa kaningi
Yini i-logarithm?
I-log₁₀(1000) = 3 ngoba 10³ = 1000. I-log itshela ukuthi i-exponent edingekayo ukufinyelela inani.
Yini ifomu lokushintsha-isisekelo?
Ukuthola i-log kunoma iyiphi isisekelo kusuka ku-calculator enayo kuphela i-ln noma i-log₁₀, sebenzisa i-log_b(x) = ln(x) / ln(b).
Yini i-log ejwayelekile?
I-natural log, ebhalwe njenge-ln, yi-logarithm esiteji e (imalunga ne-2.71828). Le thuluzi libonisa i-ln ngakwesokudla kwesokudla okhethayo.
Yini i-log ejwayelekile?
I-log ejwayelekile yi-logarithm esiteji 10, ibhalwe i-log noma i-log₁₀. Ibonisa ngokuzenzakalela noma ngabe isiteji okhetha.
Kungani inani lifanele libe lihle?
Awukwazi ukubeka isisekelo esi positive kunoma yisiphi isinamandla esingokoqobo bese uthola isibalo esi zero noma esibi, ngakho amalogs we zero noma a negative angeke acaciswe.
Kungani isizinda singaba yi-1?
Omunye ophakanyiswe kunoma iyiphi ipower uhlala u-1, ngakho-ke isisekelo se-1 asikwazi ukufinyelela enye inani - i-logarithm ayicacisiwe. Isisekelo kufanele futhi sibe namandla.
API — sebenzisa le calculator kusuka kukhodi
Nquma le calculator njenge JSON evulekile yendawo yokuqeda - akukho isithonjana esidingekayo. Thumela amaxabiso endawo ngezansi njengezilungiselelo zombuzo noma i-JSON. Noma yini ongayishiya isebenzisa iphutha elifanayo elifakwe ngaphambili lekhasi; ipharamitha engaziwa yi-400, ayikho i-zero emnyama. Funda i-API egcwele →
Ingxenye yendawo
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);Izibalo ziyisilinganiso esisetshenziswa ukuqondisa kuphela, hhayi ukucebisa ngezimali, ukwelashwa noma ukukhokha.