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对数是数学中一个重要的概念,主要用于解决 指数 方程。 设且,,则对数的定义为: 这一定义表明,是使得 底数 的次方等于的指数。 对数可以看作是指数运算的 逆运算,提供从结果反推底. 对数公式是数学中的一种常见公式,如果a^x=n (a>0,且a≠1),则x叫做以a为底n的对数,记做x= log (a) (n),其中a要写于log右下。 其中a叫做对数的底,n叫做真数 。 通常我们. L o g 是 对数符号,使用时须指明底才行,如 l o g 5 8,就是以 5 为底 8 的对数。 l g 是 常用对数,它的底为 10,为了书写方便,把 l o g 简化成了 l g,即 l g 8 = l o g 10 8。
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对数的定义是:如果ax =n,那么x被称为以a为底n的对数,记作x=logan。 其中a被称为对数的 底数,n被称为 真数。 一般地,函数y=logax ( a>0,a≠1)被称为对数函数。 即对数函数以真数为.
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