Common, binary, and natural logarithms can all be found using the online logarithm calculator. A logarithm of a real number is the exponent to which a base, that is, a different fixed number, needs to be increased in order to generate that real number. If x = a y, then y = log a x. Where:

Logarithm(log, lg, ln) If b = a c => c = log a b a, b, c are real numbers and b > 0, a > 0, a ≠ 1 a is called "base" of the logarithm.

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Calculate the logarithm base 10 of a number. The Log Base 10 Calculator is used to calculate the log base 10 of a number x, which is generally written as lg (x) or log 10 (x). Log base 10, also known as the common logarithm or decadic logarithm, is the logarithm to the base 10.

lg：10为底的对数，叫作常用对数。 ln：以无理数e（e=2.71828...）为底的对数，叫作自然对数. 对数是对求幂的逆运算，正如除法是乘法的倒数，反之亦然。 这意味着一个数字的对数是必须产生另一个固定数字（基数）的指数。 在简单的情况下，乘数中的对数计数 ...

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对数函数lg，是以10为底的对数（常用对数），如lg 10=1。lg即为log10