Natural logarithm
The natural logarithm of a number is its logarithm to the base of the mathematical constant e, where e is an irrational and transcendental number approximately equal to 2.718281828459. The natural logarithm of x is generally written as ln x, loge x, or sometimes, if the base e is implicit, simply log x. Parentheses are sometimes added for clarity, giving ln(x), loge(x) or log(x). This is done in particular when the argument to the logarithm is not a single symbol, to prevent ambiguity. Like all logarithms, the natural logarithm maps multiplication into addition:
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Natural logarithm
The natural logarithm of a number is its logarithm to the base of the mathematical constant e, where e is an irrational and transcendental number approximately equal to 2.718281828459. The natural logarithm of x is generally written as ln x, loge x, or sometimes, if the base e is implicit, simply log x. Parentheses are sometimes added for clarity, giving ln(x), loge(x) or log(x). This is done in particular when the argument to the logarithm is not a single symbol, to prevent ambiguity. Like all logarithms, the natural logarithm maps multiplication into addition:
has abstract
De natuurlijke logaritme, of n ...... illekeurig getal als grondtal.
@nl
El logaritmo natural suele ser ...... rsa de la función exponencial:
@es
Il logaritmo naturale, descrit ...... eri complessi diversi da zero.
@it
Logarytm naturalny (logarytm N ...... o podstawie zbliżonej do 1/e.
@pl
O logaritmo natural é o logari ...... zou a base 1/e e não a base e.
@pt
The natural logarithm of a num ...... 1 is a transcendental number.
@en
Натуральный логарифм — это лог ...... нахождение сложных процентов.
@ru
دالة اللوغاريتم الطبيعي أو الن ...... ريتم العشري) أو ln بصفة عامة :
@ar
自然对数（Natural logarithm）是以e為底數的对数函数，標記作ln(x)或loge(x)，其逆函数是指數函數ex。
@zh
自然対数（しぜんたいすう、natural logarithm ...... s」の頭文字を取って、特に ln x と表記することがある。
@ja
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De natuurlijke logaritme, of n ...... iskundige Nikolaus Mercator. .
@nl
El logaritmo natural suele ser ...... ad de que el logaritmo vale 1.
@es
Il logaritmo naturale, descrit ...... eri complessi diversi da zero.
@it
Logarytm naturalny (logarytm N ...... o podstawie zbliżonej do 1/e.
@pl
O logaritmo natural é o logari ...... zou a base 1/e e não a base e.
@pt
The natural logarithm of a num ...... multiplication into addition:
@en
Натуральный логарифм — это лог ...... ображает умножение в сложение:
@ru
دالة اللوغاريتم الطبيعي أو الن ...... ريتم العشري) أو ln بصفة عامة :
@ar
自然对数（Natural logarithm）是以e為底數的对数函数，標記作ln(x)或loge(x)，其逆函数是指數函數ex。
@zh
自然対数（しぜんたいすう、natural logarithm ...... s」の頭文字を取って、特に ln x と表記することがある。
@ja
label
Logaritmo natural
@es
Logaritmo natural
@pt
Logaritmo naturale
@it
Logarytm naturalny
@pl
Natural logarithm
@en
Natuurlijke logaritme
@nl
Натуральный логарифм
@ru
لوغارتم طبيعي
@ar
自然対数
@ja
自然對數
@zh
