Logarithms identities

Logarithm of b to base a is called the power which the a should be exponentiated to get the b:

c = log a bac = b , and b > 0, a > 0, a1

Basic features of the logarithms:

Logarithm of the product:

Logarithm of the division:

Logarithm of the powers and roots:

Transfer to the new logarithm base formula:

Formulas, derived from logarithm features:

Logarithms comparison:

See also:

Partial derivative step by step sample
Parametric derivative step by step sample
Fraction decomposition step by step sample

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