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Logarithms are an important concept in mathematics and are mainly used to solve exponential equations. Assuming and , then the definition of logarithm is: This definition shows that is the exponent that makes the base raised to the power equal to . Logarithms can be viewed as the inverse of exponential operations, providing the ability to work backwards from the result. The logarithmic formula is a common formula in mathematics. If a^x=n (a>0, and a≠1), then x is called the logarithm of n with a as the base, recorded as x= log (a) (n), where a should be written in the lower right corner of log. Among them, a is called the base of logarithms, and n is called the real number. Usually we. Log is a logarithmic symbol, and the base must be specified when using it. For example, log 5 8 is the logarithm of 8 with 5 as the base. l g is a common logarithm, and its base is 10. For the convenience of writing, l o g is simplified to l g, that is, l g 8 = l o g 10 8.
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The definition of logarithm is: if ax =n, then x is called the logarithm of base n with a as the base, recorded as x=logan. where a is called the base of the logarithm and n is called the true number. Generally, the function y=logax (a>0,a≠1) is called a logarithmic function. That is, the logarithmic function takes real numbers as .
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