Question Show that for positive real numbers $u$ and $v$, and a positive real number $a \neq 1$, $\log_{a}\left(\frac{u}{v}\right) = \log_{a}u - \log_{a}v$.

Studdy Solution
We have shown that $\log _{a}\left(\frac{u}{v}\right)$ is indeed equal to $\log _{a} u - \log _{a} v$, using the properties of logarithms and exponents.
This completes the proof.