Revisi per 16 November 2021 14.37 sunting Klasüo (bicara \| kontrib) 1.507 suntingan Tidak ada ringkasan suntingan Tag: Suntingan perangkat seluler Suntingan peramban seluler Suntingan seluler lanjutan ← Revisi sebelumnya		Revisi per 18 November 2021 09.20 sunting balikkan Klasüo (bicara \| kontrib) 1.507 suntingan Perubahan dan tambahan Tag: Suntingan perangkat seluler Suntingan peramban seluler Suntingan seluler lanjutan Revisi selanjutnya →
Baris 13: {{Use dmy dates\|date=Juni 2020}} {{Lead too long\|date=Oktober 2021}} {{Infobox mathematical function \|name=Logaritma \|image=Logarithms.svg \|imagesize=240px \|domain=<math> (0,\infty) </math> \|kodomain=<math> (-\infty,\infty) </math> \|plusinf=<math> \infty </math> \|root=<math> 1 </math> \|max=Tidak ada \|min=Tidak ada \|inverse=<math> x = b^y </math> \|derivative=<math> \frac{1}{x \ln b} </math> \|antiderivative=<math> x \log_b x - \frac{x}{\ln b} + C </math> }} [[Berkas:Logarithm plots.png\|right\|thumb\|upright=1.35\|Plot fungsi logaritma, dengan tiga basis yang umum digunakan. Titik-titik khusus {{math\|log<sub>''b''</sub> ''b'' {{=}} 1}} ditandai dengan garis bertitik-titik, dan semua irisan kurva pada {{math\|1=log<sub>''b''</sub> 1 = 0}}.]] {{Operasi aritmetika}} In [[mathematics]], the '''logarithm''' is the [[inverse function]] to [[exponentiation]]. That means the logarithm of a given number {{mvar\|x}} is the [[exponent]] to which another fixed number, the ''[[base (exponentiation)\|base]]'' {{mvar\|b}}, must be raised, to produce that number {{mvar\|x}}. In the simplest case, the logarithm counts the number of occurrences of the same factor in repeated multiplication; e.g. since {{math\|1000 {{=}} 10 × 10 × 10 {{=}} 10<sup>3</sup>}}, the "logarithm base 10" of 1000 is 3, or {{math\|log<sub>10</sub> (1000) {{=}} 3}}. The logarithm of {{mvar\|x}} to ''base'' {{mvar\|b}} is denoted as {{math\|log<sub>''b''</sub> (''x'')}}, or without parentheses, {{math\|log<sub>''b''</sub> ''x''}}, or even without the explicit base, {{math\|log ''x''}}, when no confusion is possible, or when the base does not matter such as in [[big O notation]]. More generally, exponentiation allows any positive [[real number]] as base to be raised to any real power, always producing a positive result, so {{math\|log<sub>''b''</sub>(''x'')}} for any two positive real numbers {{mvar\|b}} and {{mvar\|x}}, where {{mvar\|b}} is not equal to {{math\|1}}, is always a unique real number {{mvar\|y}}. More explicitly, the defining relation between exponentiation and logarithm is: ~~:<math> \log_b(x) = y \ </math> exactly if <math>\ b^y = x\ </math> and <math>\ x > 0</math> and <math>\ b > 0</math> and <math>\ b \ne 1</math>.~~ ~~For example, {{math\|1=log<sub>2</sub> 64 = 6}}, as {{math\|1=2<sup>6</sup> = 64}}.~~ The logarithm base {{math\|10}} (that is {{math\|1=''b'' = 10}}) is called the decimal or [[common logarithm]] and is commonly used in science and engineering. The [[natural logarithm]] has the [[e (mathematical constant)\|number {{mvar\|e}}]] (that is {{math\|''b'' ≈ 2.718}}) as its base; its use is widespread in mathematics and [[physics]], because of its simpler [[integral]] and [[derivative]]. The [[binary logarithm]] uses base {{math\|2}} (that is {{math\|1=''b'' = 2}}) and is frequently used in [[computer science]].

Pengguna:Klasüo/bak pasir: Perbedaan antara revisi