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| Both sides previous revisionPrevious revisionNext revision | Previous revision | ||
| math:log_exp [2020/12/14 03:00] – Added quadratic exponentials epix | math:log_exp [2022/01/24 15:36] (current) – fixed missing base epix | ||
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| * $a^{\log_{a}x} = x$ | * $a^{\log_{a}x} = x$ | ||
| * $\log_{a}a^x = x$ | * $\log_{a}a^x = x$ | ||
| + | ==== Multiplication Property ==== | ||
| + | The log of a product is the sum of the logs. | ||
| + | * $\log_{a}xy = \log_{a}x + \log_{a}y$ | ||
| + | |||
| + | ==== Division Property ==== | ||
| + | The log of a quotient is the difference of the logs. | ||
| + | * $\log_{a}\frac{x}{y} = \log_{a}x - \log_{a}y$ | ||
| + | |||
| + | ==== Log to a Power Property ==== | ||
| + | The exponent on the argument is the coefficient of the log. | ||
| + | * $\log_{a}x^r = r\log_{a}x$ | ||
| ===== Change of Base Formula ===== | ===== Change of Base Formula ===== | ||
