Rules of Logarithms

In less formal terms, the log rules might be expressed as: 1) Multiplication inside the log can be turned into addition outside the log, and vice versa. 2) Division inside the log can be turned into

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The logarithm of an exponential number is the exponent times the logarithm of the base. Rule 4: Zero Rule. The logarithm of 1 1 to any base is always equal to

Among them, the 4 important rules of common logs are as follows: log m + log n = log (mn) log m - log n = log (m/n) log a m = m log a 10 log x = x

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The rules of natural logs may seem counterintuitive at first, but once you learn them they're quite simple to remember and apply to practice problems. The four main ln rules are: ln (x) ( y) = ln (x) + ln (y) ln (x/y) = ln (x) -

x

Logarithm product rule: log b (x ∙ y) = log b (x) + log b (y) Logarithm quotient rule: log b (x / y) = log b (x) - log b (y) Logarithm power rule: log b (x y) = y ∙ log b (x) Logarithm base switch rule: log b

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Three basic logarithm rules are the product, quotient, and power rules. Product rule The product rule of logarithms can be expressed as log b (mn) = log b (m) + log b (n) where b is the base