ThmDex – An index of mathematical definitions, results, and conjectures.
Formulation F11282 on R4826: Logarithm of a ratio
F11282
Formulation 0
Let $\log_a$ be the D866: Standard real logarithm function in base $a \in (0, \infty) \setminus \{ 1 \}$.
Let $x, y \in (0, \infty)$ each be a D5407: Positive real number.
Then \begin{equation} \log_a \frac{x}{y} = \log_a x - \log_a y \end{equation}