4 results for
algebrica.org > exponential-functions

An exponential function is defined as a function of the form:

\[ y = e^x \quad \text{with} \quad x : \forall x \in \mathbb{R}\]

algebrica.org > logarithmic-equations

Logarithmic equations are equations in which the unknown appears inside a logarithm. To solve them, it is crucial to understand the properties of logarithms and how these can be applied to isolate and determine the value of the unknown.

algebrica.org > logarithms

If \(a\) and \(b\) are positive real numbers, where \(a \neq 1\), the logarithm of \(b\) to the base \(a\), denoted as \(\log_a(b)\), is defined as the real number \(c\) such that \(a^c = b\).

\[\log_a{b} = c \quad {\text{iff}} \quad a^c = b\]

algebrica.org > equations

An equation is a mathematical equality between two expressions containing one or more variables, called unknowns.