# List of logarithmic identities

 related topics {math, number, function}

In mathematics, there are several logarithmic identities.

## Contents

### 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.

Full article ▸

 related documents Interior (topology) Sigma-algebra Bézout's theorem Inverse element Deque Combination Homeomorphism Coset Congruence relation Infinite product Toeplitz matrix Quaternion group CYK algorithm Harmonic series (mathematics) Euclidean domain Compiler-compiler Triangle inequality Event (probability theory) Normal subgroup Hidden Markov model Monomorphism Initial and terminal objects Convex hull Box-Muller transform Entailment Identity element Torsion subgroup Discrete space Parity (mathematics) Memento pattern