Concept

List of logarithmic identities

Summary
In mathematics, many logarithmic identities exist. The following is a compilation of the notable of these, many of which are used for computational purposes. Trivial identities :{| cellpadding=3 | \log_b(1) = 0 || because || b^0 = 1 |- | \log_b(b) = 1 || because || b^1 = b |} Explanations By definition, we know that: :\color{black} \log \color{blue}_b \color{black} (\color{green}y\color{black}) = \color{red}x\color{black} \iff \color{blue}b\color{black} \color{red}^x\color{black} = \color{green}y\color{black}, where \color{blue}b\color{black} \neq 0 or \color{blue}b\color{black}\neq 1 . Setting \color{red}x\color{black} = 0, we can see that: \color{blue}b\color{black} \color{red}^x\color{black} = \color{green}y\color{black} \iff \color{blue}b\color{black} \color{red}^{(0)}\color{black} = \color{green}y\color{black} \iff \color{blue}1
About this result
This page is automatically generated and may contain information that is not correct, complete, up-to-date, or relevant to your search query. The same applies to every other page on this website. Please make sure to verify the information with EPFL's official sources.
Related publications

No results

Related people

Loading

Related units

Loading

Related concepts

Loading

Related courses

Loading

Related lectures

Loading