List of logarithmic identities

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{math, number, function}

In mathematics, there are several logarithmic identities.

Contents

Algebraic identities or laws

Using simpler operations

Logarithms can be used to make calculations easier. For example, two numbers can be multiplied just by using a logarithm table and adding.

Where b, x, and y are positive real numbers and b \ne 1. Both c and d are real numbers.

Trivial identities

Note that  \log_b(0) \!\, is undefined because there is no number  x \!\, such that  b^x = 0 \!\, . In fact, there is a vertical asymptote on the graph of  \log_b(x) \!\, at x = 0.

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